Metric Space and Some Related Fixed Point Theorems K

International Conference On RECENT TRENDS IN ANALYSIS AND OPTIMIZATION ICRTAO-2020 09th - 11th NOVEMBER, 2020

PB PB PB PB PB PB Key Note

Name Affiliation Title MONDAY Dr. S. Amrita Vishwa KEY NOTE 1 FRACTIONAL GRAPH THEORY. Arumugam Vidyapeetham, Coimbatore

Prof. P. KEY NOTE 2 IIT, Chennai Veeramani

Tuesday Computable Centering Methods The Hong Kong Polytechnic for Spiraling Algorithms and Prof. Scott B KEY NOTE 1 University their Duals, with Motivations Lindstrom Hung Hom, Hong Kong from the Theory of Lyapunov Functions

North University Center at Baia Mare Prof. Vasile Technical University of Cluj- KEY NOTE 2 BERINDE Napoca Victoriei 76, 430122 Baia Mare Romania

Wednesday A parallel iterative method for a KEY NOTE 1 Prof. J.K. Kim nonexpansive operators in Baanachfinite family space of Bregman strongly

Prof. C. KEY NOTE 2 Director NITTTR Bhopal Thangaraj

PB PB Invited Talk S. No Code Name Affiliation Title MONDAY Prof. D.R. Accelerated Computational Methods 1 M-IT01 Sahu IIT BHU, Banaras For Quasi-Nonexpansive Operators With Applications Prof. Pankaj South Asian University, Boundedness Of Hausdorf 2 M-IT02 Jain New Delhi Operators In Lebesgue Spaces Analytical Solution of Mixed Prof. V.P. Ex Vice Chancellor, Jiwaji 3 M-IT03 Boundary Value Problems And Saxena University, Gwalior Saxena’s I-Functions Professor, Dept. Convergence, Comparison of Rate of Prof. G.V.R of Mathematics, Convergence and Data Dependence 4 M - IT04 Babu Andhra University, Of Certain Iteration Procedures For Visakhapatnam Contractive Like Operators Magnitude of Diverse Form of Prof. H.K. 5 M –IT05 VIT, Vellore Contraction Mapping And Metric Nashine Space, And Its Relevance Dr. Yumnma Fixed Point And Generalisations of 6 M –IT06 NIT, Manipur Rohen

Tuesday Α-Admissible Mappings Asst. Professor, Dept. of Some Observations On Generalized 7 T-IT01 Dr. Javid Ali Mathematics, Aligarh Non-Expansive Mappings And Muslim University Convergence Results Ex-Chairman Dept. of On Generalization Of Taylor’s Prof. M.A. 8 T-IT02 Mathematics, Aligarh Series, Riemann Zeta Functions And Pathan Muslim University Lidstone Polynomials New Developments in Fixed Point Dr. Anil 9 T-IT03A Govt. CSA College, Sehore Theory Rajput

Dept. of Mathematics, Prof. Anita 10 T-IT03 Govt. Degree College, Tomar At Fixed Point And Applications Thatyur, Garhwal Contractive Definition, Discontinuity Professor, Dept. of Reckoning Of Fixed Point Using Dr. B. S. Mathematics, Pt. 11 T-IT04 Averaging Iterations: Empirical Thakur Ravishankar Shukl Observations University, Raipur Prof. Associate Professor, Vector Variational Inequalities 12 T-IT05 Anurag Dept. of Mathematics , On Hadmard Manifold Involving Jaiswal IIT (ISM) Dhanbad Strongly Geodesic Convex Functions

PB Wednesday On The Semilocal Convergence Of Associate Professor, A Fifth-Order Scheme In Banach Prof. J.P. Dept. of Mathematics, 13 W-IT01 Spaces Under Weak Continuity Jaiswal Guru Ghasidas Central Condition & Its Computational University, Bilaspur, CG

Associate Professor, Efficiency Deepak Dept. of Applied Generalized Contractions and its 14 Singh Sciences, NITTTR, Applications Bhopal Associate Professor, Prof. S.K. On multiobjective fractional interval 15 W-IT02 Dept. of Mathematics , Gupta valued optimization problems IIT Roorkee CR Department, Dr Rajinder University of Technology 16 W-IT02A Sharma And Applied Sciences, SOHAR, OMAN Prof. Associate Professor, Dept. New-Convex Structure On Branciari 17 W-IT03 Mehadi of Mathematics, Zanjan, Metric Space Asadi Iran

PB Oral presentation S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. Amity Fixed Point Results In Compact 1 M-S101 Abid Khan University 01 Metric Spaces Gwalior Viscosity Approximation Methods Pt. Ravishankar For The Shukla 2 M-S102 Ajay Kumar Implicit Double Midpoint Rule Of 01 University Non-Expansive Raipur (C.G.) Mappings In CAT(0) Spaces Some New Results On Coupled 3 M-S103 Amin Ahmed MANIT, Bhopal Fixed Point Theorems In Menger 02 Spaces New Inertial Extragradient-Like Banaras Hindu Algorithms For Common Solution Amit Kumar 4 M-S104 University, Of Variational Inequality And 02 Singh Varanasi System Of Variational Inequalities Problems Cone Metrics Space And Common Babita SRK University, 5 M-S105 Fixed Point Theorems Of 03 Pandey Bhopal Contractive Maps A Common Fixed Point Theorem People’s In Non-Archimedean Menger Dilip Kumar 6 M-S106 University, PM-Space Under Reciprocal 03 Gupta Bhopal Continuity For Family Of Self Mappings

IIT(ISM) Optimization 7 M-S201 Babli Kumari Dhanbad, 04 ProblemEfficiency AndOn Duality Riemannian For Vector Jharkhand Manifolds Involving KT-B-Invexity Darsha Portfolio Optimization and Post- 8 M-S202 04 Panwar Optimality Test Karush Kuhn-Tucker Optimality Condition And Wolfe Duality SAGE University 9 M-S203 Harsha Atre For Invex Multiobjective 05 Indore Programming Problem With Interval-Valued Function New Sets Of D-Optimal ICAR IISS, Experimental Designs With One- 10 M-S204 Hiranmoy 05 Bhopal Das Intercepts For Covariate Models”. Way And Two-Way Classified

PB S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. Indian Institute of Technology Effect Of Bottom Topography 11 M-S205 S. Tabssum (Indian School On Wave Scattering By Multiple 06 of Mines) Porous Barriers Dhanbad Mean-Variance-Skewness Model Sunil Kumar 12 M-S206 MANIT, Bhopal For Portfolio Optimization In The 07 Mittal Uncertain Environment DR. A.P.J. Solving The Decision Making Showkat Abdul Kalam 13 M-S301 Problem Using Fuzzy Logic 07 Ahmad Bhat University, Indore Dr. D. Y. Patil Institute of On Adomian’s Decomposition Sandhyatai 14 M-S302 engineering Method For Solving Impulsive 08 Kadam and technology, Nonlinear Problems Pimpari, Pune Bhopal School Fixed Point Results With Varsha of Social Triangular -Orbital Admissible 15 M-S303 08 Chouhan Sciences, Mapping On Branciari B-Metric Bhopal Space Jabalpur Existence Of Common Fixed Point Engineering 16 M-S304 Vishal Joshi In Complex Valued Fuzzy Metric 09 college, Jabalpur Space With Applications

UIT, RGPV On Projective Semi- Symmetric T R 17 M-S306 Bhopal Non-Metric Connection On Quasi 09 Raghuwanshi Einstein Manifold Guru Ghasidas A Fixed Point Theorem In Bipolar 18 M-S401 C.P. Dhuri University, 10 Metric Space Bilashpur Pt. Ravishankar New Iteration Process For Total Shukla 19 M-S402 Dipti Thakur Asymptotically Nonexpansive 10 University Mappings In CAT(0) Spaces Raipur Some Coincidence And Common Pt. Ravishankar _Xed Point Ekta Shukla 20 M-S403 Results Under Edge-Theoretic 11 Tamrakar University F-Contraction In Complete Metric Raipur,C.G., Space

PB S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. Existence Of Fixed Point In B_ S.G.R.R. Metric Like Spaces Under Relation 21 M-S404 Meena Joshi (P.G.) College 11 Theoretic Contractions And Its Dehradun Applications In Vitro Experiments To People’s Observe Competitive Serum University, Albumin Binding Of Amlodipine 22 M-S501 Alka Singh 12 Bhanpur, With Losartan And Its Active Bhopal Metabolite EXP-1734 When Studied Contemporarily Selection Of Photovoltaic Solar University of Animesh Panel Using Pythagorean Fuzzy 23 M-S502 Kalyani, Kalyani 13 Biswas Technique For Order Preference W.B. By Similarity To Ideal Solution UIT-RGPV, 24 M-S503 Anu Mangal Big Data Analytics Tools: A Review 13 Bhopal Sikkim Manipal Institute of Multi-Layer Neural Network Ashish 25 M-S504 Technology, Based Parsing With Morphological 14 Pradhan Majitar, East Features For Projective Sentences Sikkim, Estimating The Technical ICAR-Central Institute of Manoj Output Shortfall Of Farm 26 M-S602 Agricultural 14 Kumar_2 MachineryEfficiency, Manufacturers Input Excess Using And Engineering, Slacks-Based Data Envelopment Bhopal Analysis Normality Criteria Of A Family Shyamali Bhairab Ganguly 27 M-S603 Of Zero-Free Meromorphic 15 Dewan College, Kolkata Functions Sagar Institute A Related Fixed Point Theorem Uma-shankar of Research & 28 M-S604 Of Rational Type On Complete 15 Singh Technology, Metric Spaces Bhopal Variants Of Contractions In Mudasir UIT- (RGPV), 29 T-S102 Graphical Metric Spaces With 16 Younis Bhopal Applications Weakly Compatible Mapping Sharad J. H. Govt. P. G. 30 T-S103 Satisfying (E.A) - Property In 16 Kumar Barve College, Betul B-Metric Space

PB S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. D.M. College of K. Anthony Cone Ab-Metric Space And Some 31 T-S104 Science, Imphal 17 Singh Related Fixed Point Theorems (Manipur) Indian Institute Business Analytics And Mayank 32 T-S201 of Management, Optimization In Supply Chain 17 Ramnani Indore Management: A Review Improved Document Retrieval Nidhi SGSITS, 23, Park 33 T-S202 Technique Using Optimization Of 18 Bhandari Road, Indore User Query Jabalpur Existence Of The Solution For Gopal Meena 34 T-S204 Engineering Global Optimization Problems 18 College Jabalpur Mayank Fuzzy Metrics And Their 35 T-S301 LNCT, Bhopal 19 Sharma Application In Computer Vision Oriental Institute of Impact Of Data Modelling In 36 T-S301A Shadab Pasha Science & 19 Business Analytics Technology, Bhopal Chaitanya Bharathi Simulation Mappings And Fixed- 37 T-S302 A. Padma Institute Of Point Theorems Under S-Metric 20 Technology, Space Hyderabad Chandra Common Fixed Point Theorems Uday Dolas Shekhar Azad Using Compatible Maps In 38 T-S302A 20 Govt. P. G. D-Metric Spaces Over Topological College, Sehore Semi Field Common Fixed Point Theorems SGSITS Indore 39 T-S303 Preeti Sengar In Complex Valued Metric Space 21 (M.P.) Using Implicit Relation RNTU Performance Analysis Of Crypto- 40 T-S303A Sneha Soni University, Stego Algorithms For Multimedia 21 Bhopal Data Security: Survey Some Common Fixed Point Theorem Using Faintly Sant Hirdaram Manish 41 T-S304 Girls 22 Sharma Intuitionistic Probabilistic Metric College,Bhopal SpaceCompatible With MapsCommon In ModifiedProperty (E.A.)

PB S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. Virendra Manipal Some Coupled Fixed Point 42 T-S304A Singh University Theorems Using 22 Chouhan Jaipur Nonlinear Contractive Mappings SABIYA Jamia Millia Convergence Analysis Of An 43 T-S305 KHATOON Islamia New Iteration Involving Two 23 Delhi G-Nonexpansive Map Sonika Fixed Point Results In Complete 44 T-S306 RGPV Bhopal 23 Raghuvanshi Metric Spaces Some Common Fixed Point Theorem Using Faintly Sant Hirdaram Varsha 45 T-S307 Girls College, 24 Mandwariya Intuitionistic Probabilistic Metric Bhopal SpaceCompatible With MapsCommon In ModifiedProperty (E.A.) VNS College, Results On Cyclic Best Proximity 46 T-S308 Madhu Singh 24 Bhopal Point Theorems A Study Of E-Convex Sets And Bhawana Bhagat Singh PG 47 T-S309 E-Convex Functions With 25 Bhatt College, Jaora Reference To Convex Soft Sets Dr. D.Y. Patil Applications Of Corrected Indrayani Institute of 48 T-S310 Quadrature Rule For Singular 25 Yuraj Sutar Technology, Integrals Pimpri, Pune Rani Durgavati A Numerical Solution For The Heat 49 T-S311 Uday Singh University, Equations Using Trigonometric 26 Jabalpur Cubic B-Spline Aligarh Muslim Set-Valued Variational Inclusion 50 T-S401 University, Problem With Fuzzy Mappings 26 Imran Ali Aligarh Involving XOR-Operation Credibilistic Semi-Variance Of Jagdish Trapezoidal Fuzzy Variable And 51 T-S402 Kumar MANIT, Bhopal 27 Its Application To Select Portfolios Pahade In Fuzzy Environment IES Group of SACHIN DEV Fixed Points Of Expansive 52 T-S403 Institutions, 27 KUSHWAHA Mappings In _-Metric Space M.P. Guru Jambheshwar Fixed Point Theorems For F*- Vizender University Contraction In Fuzzy Metric 53 T-S404 28 Sihag of Science & Spaces Technology, Hisar

PB S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. Govt. Vijay .C. Engineering “Fuzzy Number– A New 54 T-S405 28 Makwana College, Patan, Hypothesis And Its Algebra” Gujarat Govt. Engineering Fuzzy Additive Group And Fuzzy 55 T-S406 Vijay. P. Soni 29 College, Patan, Multiplicative Group Gujarat Govt. PG Nodal Prem Pratap Common Fixed Point Theorem In 56 T-S407 College Sehore, 29 Singh Fuzzy Random Space M.P. An Application Of Fuzzy Lipschitz Bansal College Ramakant Maps For Nonlinear Contractions 57 T-S408 of Engineering, 30 Sharma In Kaleva–Seikkala’s Type Fuzzy Mandideep, Metric Spaces Barkatullah Study Of Day To Day Variation 58 T-S409 Bhanupriya University, Of M(3000)F2 At Low Latitude 30 Bhopal Station Discussion On Graphical Pravin SVNIT, Surat, 59 T-S411 Rectangular Metric Space And 31 Baradol India Fixed Point Results Mathematical Modeling Of Solar Krishna Singh LNCT University Chimney For Air Ventilation In A 60 T-S501 31 Rajput Bhopal. Room Using Passive Ventilation Method Ujjain Leena On The Minimum Eigenvalue Of 61 T-S502 Engineering 32 Sharma The Fan Product Of M-Matrices College, Ujjain Optimizing Distributed Lokendra AKS University, 62 T-S503 Computing In The Context Of 32 Gour Satna (M.P.) Deep Learning Patterns Of Ionospheric TEC Barkatullah Mahesh Variations And Its Synchronization 63 T-S505 University, 33 Parwani With Solar Activity Indices During Bhopal Solar Maxima And Minima Phases Indian Institute Effect Of Bottom Undulation For 64 T-S506 Manisha of Technology, Mitigating Wave-Induced Forces 34 Kharagpur On A Floating Bridge

PB S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. Jabalpur Generalized Contractive Om Prakash Engineering Condition And Fixed Point Results 65 T-S507 35 Chauhan College, In Complex Valued Fuzzy Metric Jabalpur Spaces On The Local Convergence Analysis Of Homeier’s-Like 66 T-S508 Neha Gupta MANIT, Bhopal 35 Method In Banach Spaces Under

Ω-ContinuityComprehensive Condition Analysis Of Barkatullah High-Mid And Low Latitude Bhupendra 67 T-S509 University, Of Ionosphere During The 36 Malvi Bhopal Geomagnetic Storms In January 2005 Vellore Institute Iterative Methods For Solving of Technology, Non Linear 68 T-S510 Sourav Shil 36 Vellore, Matrix Equations And Tamilnadu Convergence Analysis Application Of Convergent Barkatullah Sequences To Fixed Point 69 T-S511 Anil Badal University, 37 Theorems In Complex Valued Bhopal Metric Space. Pt. Ravishankar A New Three Step Iteration Shukla 70 W-S101 Manoj Kumar Process For The Approximation 37 University Of Fixed Points. Raipur Delhi Jamkhongam Technological Theory Of Frames In Signal 71 W-S102 Touthang 38 University, Processing Bawana Road, Generalized Identities Involving Mandsaur Common Factors Of Bivariate 72 W-S104 Jaya Bhandari University, 38 Fibonacci And Bivariate Lucas Mandsaur, India Polynomials Govt. P.G. Dinesh Stability Analysis Of Prey Predator 73 W-S105 College, Seoni, 39 Kumar Verma Model With Harvesting Jabalpur (M.P.) Early Reviewer Prediction Of Pinky E-Commerce Website Through 74 W-S106 SIRTE, Bhopal 39 Rathore Classic Rogue Bell Curve Technique

PB S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. Analysis Of Geomagnetic Storm Barkatullah Effects On The Ionospheric 75 W-S107 University, 40 F Layer Over Northern And Bhopal Rafi Ahmad Southern Hemisphere Jamia Millia Common Fixed Point Of A Non- Sajan 76 W-S108 Islamia, New Lipschitzian Semigroup In A 40 Aggarwal Delhi Nonlinear Space With Graph TITLE-Semi-Local Convergence Govt. PG Analysis Of Sixth Order Method 77 W-S201 Mona Verma College, 41 Under H’Lder Continuity Narsinghgarh Condition. Ravindranath Tegore Applications Of Improper 78 W-S202 Chitra Singh 41 University, Integrals In Fourier Transform Bhopal On Slack 2-Geodesic Convex Sets Aligarh Muslim Praveen And 79 W-S203 University, 42 Kumar Geodesic E-Pseudoconvex Aligarh Functions Aligarh Muslim Mohammad Weighted Lupas Post Quantum 80 W-S204 University, 42 Iliyas Bezier Curves Aligarh Govt.Naveen 81 W-S205 Nisha Barley Girls Gollege Based Fault Diagnosis Of Power 43 Raipur,C.G TransformerResults On Artificial Intelligence- Geometric Characterization R.D. University, 82 W-S206 Nishi Gupta Of Cubic TB Curve With Four 43 Jabalpur, M.P. Parameters St. Aloysius Satyendra 83 W-S207 College, Partially Ordered Complete 44 Kumar Jain Jabalpur MetricHousdroff Space And θ-Contraction Its Application In Maulana Mathematical Formulation Of Azad National 84 W-S208 Rani Sahu Institute of 44 Based Mobile Technology, Ad-HocEnergy EfficientNetwork Routing In Zone Bhopal, ICAR-Indian Geospatial Analysis Of Soil Sangeeta Institute of Properties In Croplands Of 85 W-S301 45 Lenka Soil Science, Climatically Vulnerable District Nabibagh Rajgarh Of Madhya Pradesh

PB S. Presentation Name of the Page Affiliation Title Of Talk No. code Presenter no. Maharaja Ranjit Singh College Preservers Of Gershgorin Of 86 W-S302 Manoj Joshi 46 of Professional Jordan Product Of n × n - Matrices Sciences, Indore Sant Hirdaram Incomplete’ Pál Type Interpolation Poornima 87 W-S304 Girls College, On Zeros Of Polynomials With 46 Tiwari Bhopal Theory And Analysis Of Bi-Period 88 W-S307 Avni Sharma DAVV, Indore Complex Coefficients 47 Undulator Radiation Govt. College, Theory And Analysis Of Inverse 89 W-S308 Roma Khullar Khategaon, Electron Cyclotron Resonance 47 Dewas Maser Accelerator

PB PB ABSTRACTS

M-S101 Fixed Point Results In Compact Metric Spaces Abid Khan1, Deepti Shakti2, Ramakant Bhardwaj3 1,2- Department of Mathematics, AMITY University M.P. (Gwalior) 3- Department of Mathematics, AMITY University Kolkata (W.B.) India. Corresponding Author Email: [email protected]

Abstract Fixed point theory plays an important role in pure mathematics as well as in applied mathematics.

In the present paper some fixed point and common fixed-point results are obtained for rational -point theory. contraction in Compact metric spaces. The obtained results generalized the basic results of fixed

Keywords:

Fixed point, common fixed point, Compact -metric spaces

M-S102 Viscosity Approximation Methods For The Implicit Double Midpoint Rule Of Nonexpansive Mappings In Cat(0) Spaces Ajay Kumar School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.) 492010 India

Abstract The aim of this paper is to de_ne the implicit double midpoint rule of nonexpansive mappings in CAT(0) spaces and prove some strong convergence results under certainconditions. Also, shown that the limit of the sequence generated by the implicit double midpoint rule solves variational inequality problem. As an application, we obtain a solution of nonlinear integral equation of Volterra type. 2010 Mathematics Subject Classi_cation: 47H09, 47J25.

Keywords: Nonexpansive mappings, contraction mappings, viscocity, implicit midpoint rule, variational inequality problem, fixed point, CAT(0) space.

1 ABSTRACTS

M-S103 Some new results on Coupled Fixed Point Theorems in Menger Spaces Amin Ahmed Dept. of mathematics Bio-informatics and Computer Application, Moulana Azad National Institute of Technology, Bhopal (M.P.)

Abstract

CLRS and CLRST property in the framework of Menger-spaces. Some novel examples are propounded In the present work, we present some coupled fixed point results invoking the common E.A. property, to validate the established results. Our results generalize and extend a multitude of results in the existing state-of-art. At the end some open problems are also discussed for the future scope of the study. AMS Mathematics subject classification 2000 : 54H25; 47H10: Keywords: Menger spaces, Weakly compatible mappings, t-norm, CLRS Property and CLRST Property.

M-S104 New Inertial Extragradient-Like Algorithms For Common Solution Of Variational Inequality And System Of Variational Inequalities Problems Amit Kumar Singh (with D. R. Sahu) Research Scholar, Department of Mathematics,Institute of Science, Banaras Hindu University, Varanasi, India

Abstract The article introduces a new algorithm for solving a class of variational inequality problems for monotone operators and system of nonlinear variational inequalities problems (SNVI) for two strongly monotone operators. We describe how to incorporate the extragradient like technique based on altering points technique with inertial effects. A weak convergence theorem is established for the proposed algorithm. Numerical examples are performed to illustrate the numerical effciency of the algorithm and compare with other algorithms.

Keywords: Monotone mapping, Extragradient method, Altering points,System of variational inequality.

2 ABSTRACTS

M-S105 Cone Metrics Space And Common Fixed Point Theorems Of Contractive Maps Babita Pandey1, Amit Pandey2, Ramakant Bhardwaj2 1- Department of Mathematics ,SRK University Bhopal(M.P) 2- Department of Mathematics, AMITY University Kolkata (W.B) Email:[email protected]

Abstract

In the present paper the concept of cone metrics space is extended for rational function. Some fixed point and common fixed-point results are established in cone metric space. Keywords:

Fixed point, common fixed point, cone metrics space

M-S106 A Common fixed point Theorem in Non-Archimedean Menger PM-space under reciprocal continuity for family of self mappings Problems Dilip Kumar Gupta1, Naval singh2 1 - Department of Mathematics , People’s College of Research & Technology Bhopal (M.P.) India 2- Department of Mathematics ,Govt. Science & Commerce College , Benazeer Bhopal (M.P.) India E Mail: [email protected]

Abstract in Non-Archimedean Menger PM-space using the notion of semi-compatibility maps and reciprocally In this present paper, we prove some common fixed point theorems for weakly compatible mappings continuity for family of self mappings. Our results improve and extend several known results existing in the literature and generalizes fixed point theorems in the sense that all maps involved in thetheorem can be discontinuous even at the common fixed point Keywords: Non-Archimedean Menger PM-space, weakly compatible mappings, semi-compatibility maps and reciprocally continuity, Common fixed point .

3 ABSTRACTS

M-S201 Efficiency And Duality For Vector Optimization Problem On Riemannian Manifolds Involving KT-B-Invexity Babli Kumari1, Anurag Jayswal2 1- Department of Mathematics & Computing, Indian Institute of Technology 2- (Indian School of Mines), Dhanbad-826004, Jharkhand, India E-mail : [email protected]

Abstract In this paper, we consider a vector optimization problem on Riemannian manifolds for which we define KT-B-invex and KT-B-pseudoinvex functions. Further, we prove that every vector Kuhn-Tucker assumptions. Moreover, we also study the Mond-Weir dual problem for the aforesaid problem and point is a weak efficient solution for considered vector optimization problem under the suitable establish its weak, strong and converse duality results.

M-S202 Portfolio Optimization And Post-Optimality Test Darsha Panwar1, Namita Srivastava2 1- Department of Mathematics, Sagar Institute of Research Technology, Bhopal (M.P.), India 2- Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal (M.P.), India E-mail:[email protected]

Abstract In portfolio selection, the aim is to obtain a proper proportion of assets such that the investor gets maximum return and minimum risk. In a practical portfolio planning process, the investment as investors topology, clustering and different factors of stock. In this article, a hybrid approach for decision to be taken by an investor is not simple and is influenced by several other parameters such asset allocation is proposed with multiple methodologies like investor topology, cluster analysis, analytical hierarchy process (AHP) for ranking the assets and portfolio selection by teaching-learning score. TLBO is a population based algorithm.Population size and number of generations these are two based optimization (TLBO)with five objectives- return, risk, liquidity, dividend and AHP weighted common controlling parameters that are required to work for TLBO. Apart from this, post-optimality test is also applied to check the efficiency of TLBO and the result will also improve. Keywords:

Investor topology; cluster analysis; AHP; TLBO algorithm; Portfolio optimization.

4 ABSTRACTS

M-S203 Karush Kuhn-Tucker Optimality Condition and Wolfe Duality for Invex Multiobjective Programming Problem with Interval-Valued function Harsha Atre SAGE University, Indore [MP] E-mail: [email protected]

Abstract Wolfe Duality theorems in multiobjective interval-valued programming problem are extracted in condition for multiobjective interval-valued nonlinear programming problem are extracted and also inauguratethis paper. Usingthe concept the concept of having of invexity no duality the gapKarush in week Kuhn-Tucker and strong optimality sense. Also sufficient we dilated and thenecessary strong duality theorem in weak and strong sense for multiobjective interval-valued programming problem.

Keywords: Karush Kuhn-Tucker optimality condition, Wolfe primal and dual theorem, Weak and strong duality theorem.

M-S204 New Sets Of D-Optimal Experimental Designs With One-Way And Two-Way Classified Intercepts For Covariate Models Hiranmoy Das1, Anurup Majumder2, Pradip Dey1 and Ashok Kumar Patra1 1-ICAR-Indian Institute of Soil Science, Bhopal (MP), India 2 - Bidhan Chandra Krishi Viswavidyalaya, Nadia (WB), India Email: [email protected]

Abstract The study of optimal design for covariate models in CRD set-up was initiated by Troya (1982a, 1982b). Das et. al. (2003) followed up the study and extended for RBD set-up. Das et. al. (2015) published a book on ‘Optimal Covariate Designs’. In this study, one new set of D-optimal covariate

(RBD)designs set-up in Experimental have been Designdeveloped. with TheOne-way methods Classified of constructions Intercept Model of D- (CRD)optimal set-up covariate and two designs new sets of D-optimal covariate designs in Experimental Design with Two-way Classified InterceptH Modelv and

Hb-1 can develop c=(v-1) number of D-optimal covariates in CRD and RBD set-ups with the treatment are developed with the help of a new matrix viz., Special Array (as defined). The existence of number v for any odd number of replications or blocks, b. If Hv and Hb-r exists, then c=(v-1) D-optimal covariates will exist in a RBD set up with v number of treatments for b odd number of blocks provided r (> 1) is a odd number and Hr-1 exist, where r is the number of rows and columns in the Special Array with all elements zero. The developed D-optimal covariate designs are not available in the existing literature. Keywords: Covariate Model, Hadamard Matrix, D-Optimality, Kronecker Product and Hadamard Product.

5 ABSTRACTS

M-S205 Effect Of Bottom Topography On Wave Scattering By Multiple Porous Barriers S. Tabssum1, R. B. Kaligatla1, T. Sahoo2 1 - Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines) Dhanbad 2 - Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology Kharagpur E-mail: [email protected]

Abstract Scattering of obliquely incident surface gravity waves by multiple porous barriers is studied in the presence of step type varying bottom topography. The bottom bed consists of a finite interval of of porous barriers is located on water of uniform depth on the lee side of bottom variations. Using uneven geometry which is connected by two semi-infinite intervals of uniform water depths. An array converted into a boundary value problem which is handled for solution using coupled eigenfunction small amplitude wave theory and Darcy’s law for flow past porous structure, the physical problem is expansion in uniform bottom regions and modified mild-slope equation in varying bottom region. Further, certain jump conditions are used for the conservation of mass flux at slope discontinuities in bottom profile. To understand the effect of variations in bottom topography on wave scattering by forces on the barriers are computed and analyzed for different values of depth ratio, varying bottom multiple porous barriers, physical quantities such as reflection and transmission coefficients, wave parameter, porous-effect parameter, incident wave angle, spacing between the barriers and slope length of varying bottom. In the presence of ripple bottom bed, effect of multiple porous barriers on incident waves over step type ripple beds Bragg scattering is analyzed. Certain drift in Bragg reflection is noticed due to propagation of oblique

6 ABSTRACTS

M-S206 Mean-Variance-Skewness Model For Portfolio Optimization In The Uncertain Environment Sunil Kumar Mittal1, Namita Srivastava2 Department of mathematics, Maulana Azad National Institute of Technology, Bhopal, India E-mail: [email protected]

Abstract performance, therefore experts’ knowledge plays the key role in successful investment strategies. In In today’s economic environment randomness alone is not sufficient for determining the stock’s future this paper a portfolio optimization problem is discussed in an uncertain environment in which stock by historical data. The parameters of zigzag uncertain variable are evaluated by experts. A mean- returns are considered as a zigzag uncertain variable, since stock returns cannot be well reflected variance-skewness model is developed in uncertain environment using uncertain programming to optimize the portfolio within the framework of uncertainty theory. Some real-world constraints like cardinality and bounding are also embedded in it. An uncertain goal programming approach is used world example with the data set, collected from BSE India website, is presented to demonstrate the to obtain efficient investment strategies in an indeterminacy economic environment. Finally, a real- feasibility of the proposed model and the efficacy of solution approach. Keywords: Portfolio, Zigzag uncertain variable, Skewness, Uncertain goal programming

M-S301 Solving The Decision Making Problem Using Fuzzy Logic Rakesh Kumar Tripathi, Showkat Ahmad Bhat DR. A.P.J. Abdul Kalam University, Indore

Abstract Fuzzy analysis represents a method for solving problems which are related to uncertainty and varieties of alternative actions available to us and at least in some instances, we have to decide which vagueness; it has applications in decision making problems. We are all faced in our daily life with of application of fuzzy set theory. In this paper procedures are presented for fuzzy decision model. of the available actions to take. The field of decision making is the most fruitful and interesting area

7 ABSTRACTS

M-S302 On Adomian’s Decomposition Method for Solving Impulsive Nonlinear Problems Sandhyatai Kadam1, Radhika Menon2 Department of Mathematics, Dr. D. Y. Patil Institute of engineering and technology, Pimpari, Pune *Corresponding Author E-mail: [email protected]

Abstract In the present paper, the Adomian’s decomposition method is used to prove a solution to fractional integro-differential equations with impulsive condition. The novel method approximately gives the solution. We have given an example to illustrate the proposed method. solutions of given nonlinear system of equations as an infinite series which converges to accurate

Keywords:

Impulsive fractional differential equations; Adomaian decomposition method;

M-S303 Fixed Point results with triangular α-orbital admissible mapping on Branciari b-metric space Varsha Chauhan Department of Science, The Bhopal School of Social Sciences, Bhopal, India *Corresponding Author E-mail: [email protected]

Abstract admissible mapping on b-Branciari metric space. Some results on the existence and uniqueness of The purpose of this paper is to generalize fixed point theorem by using the concept of triangular α- fixed point associated with this contraction are also proved. We provide some examples in support of endowed with a graph. the obtained results. As an application we derive some fixed point results in Branciari b-metric space

Keywords: mapping Branciari b-metric space, F-contraction, α-orbital admissible mapping, α-orbital attractive

8 ABSTRACTS

M-S304 Existence of Common Fixed Point in Complex Valued Fuzzy Metric Space with Applications Vishal Joshi1, Deepak Singh2 1 - Department of Applied Mathematics Jabalpur Engineering college, Jabalpur, and Professional Examination Board, Bhopal, 2 - Department of Applied Sciences, NITTTR, Under Ministry of HRD, Govt. of India, Bhopal,India. E-mail- [email protected]

Abstract Recently, on recognizing the innovative concept of complex valued fuzzy set due to Ramot et al. [1] , Singh et al. [2] introduced the novel notion of complex valued fuzzy metric spaces. In this article, we introduce a new class of implicit function to prove common fixed point theorems in the framework of utilized the same to deduce integral type contractive conditions. Additionally, we present application complex valued fuzzy metric space. Moreover, new altering distance in terms of integral is defined and of main results to the system of functional equations. Finally, we give an example in support of results obtained.

Keywords: Fixed point, complex valued fuzzy metric space, implicit function, integral type contraction.

M-S306 On Projective Semi- Symmetric Non-Metric Connection On Quasi Einstein Manifold T.R.Raghuwanshi, Anil Goyal and Manoj Pandey (Department of Mathematics) University Institute of Technology, RGPV Bhopal (M.P.)

Abstract The object of the present paper is to study a type of projective semi-symmetric non- metric connection on Quasi Einstein manifold. We have shown that curvature tensor of the connection satisfies Bianchi’s first identity. A part from this, we have studied some more curvature conditions.

9 ABSTRACTS

M-S401 A Fixed Point Theorem In Bipolar Metric Space C.P. Dhuri Department of Mathematics, Guru Ghasidas Vishwavidyalaya Bilaspur,Chhattisgarh, India. Email:[email protected]

Abstract

Wong type contraction mapping in bipolar metric space. In this paper I obtain a result regarding the existence and uniqueness of the fixed point of the Boyd-

Keywords: Bipolar metric space, covariant map, right upper semi continuous function, Cauchy bisequence.

M-S402 New Iteration Process For Total Asymptotically Nonexpansive Mappings In CAT(0) Spaces Dipti Thakur School of Studies in Mathematics, Pt. Ravishankar Shukla University Raipur-492010 C.G., India Email: [email protected]

Abstract In this paper, propose a new iteration process for total asymptotically nonexpansive mappings. and improve many results in this literature and also provide numerical examples to illustrate the Establish ∆-convergence and strong convergence theorems on a CAT(0) space which extend performance of proposed iteration.

Keywords: theorem, CAT(0) space Total asymptotically nonexpansive mappings, ∆-convergence and strong convergence

10 ABSTRACTS

M-S403 Some coincidence and common fixed point results under edge- theoretic F-contraction in complete metric space Ekta Tamrakar and Hemant Kumar Pathak School of Studies in Mathematics, Pt. Ravishankar Shukla University Raipur (C.G.) 492010 India Email: [email protected]

Abstract In this paper, we de_ne the notion of (F- edge)-contractions and generalized the relation theoretic - contractions of Alfaqih et al. to the edge theoretic results in metric space endowed with directed graph. Also an example is given to exhibit coincidence and common fixed point results under (F;R) g the utility of our main result. As an application, we investigate the existence and uniqueness of a solution of nonlinear integral equation of Volterra type.

Keywords: Connected graph. Fixed point, Common fixed point, Coincidence point, F-contraction,(F -R)-contraction,

M-S404 Existence Of Fixed Point In B-Metric Like Spaces Under Relation Theoretic Contractions And Its Applications Meena Joshi1, Anita Tomar2 And Sanjay Kumar Padaliya3 -S.G.R.R. (P.G.) College Dehradun, India. 1;3 2 -Government Degree College Raipur (Dehradun) Uttarakhand, India. Email: [email protected] Abstract We familiarize relational CJM-contraction and generalized Meir-Keeler contraction in b-metric like map. We give applications to solve an initial value problem demonstrate the usability and effectiveness spaces equipped with a binary relation to establish non unique fixed point results for a discontinuous of our results

Keywords: Binary relation, R completeness, R continuity.

11 ABSTRACTS

M-S501 In Vitro Experiments To Observe Competitive Serum Albumin Binding Of Amlodipine With Losartan And Its Active Metabolite EXP- 1734 When Studied Contemporarily Alka Singh1, Pawan K. Porwal2, Neeraj Upmanyu3 1 - School of Pharmacy & Research, People’s University, Bhanpur, Bhopal (M.P.) India 2 - Amity Institute of Pharmacy, AUMP, Maharajpura, Gwalior (M.P.) India Email id- [email protected]

Abstract Background:

The combination therapy of Losartan and Amlodipine has proven to be beneficial as and an approach was made to study possible in vitro protein binding interaction between Amlodipine, compare to either drug monotherapy. The mechanism of this beneficial effect has not been established factors viz. oxidation, glycation, aging etc. may induce conformational changes in structure of Losartan and its active metabolite losartan carboxylic acid (LCA; EXP1371). Several pathological recombinant Human Serum Albumin (rHSA), which ultimately leads to free drug concentration. Experimental: mm, 5 µm) column using mobile phase consisting of 20mM monobasic potassium phosphate and The selected analytes were effectively separated on thermo β-basic C18 (100×4.6 0.2% TEA with acetonitrile and iso-propyl alcohol in gradient mode. The eluent was monitored at 228nm at 1.0 ml min-1 in vitro protein

flow rate. The total run time was less than 12 min. The binding experiments were performed under simulated physiological conditions using ultrafiltration followed by separation with methyl-tert-butyl ether. Human serum albumin was glycated using 8-12 as protein binding model. The ultrafiltrate was spiked with ramipril (IS) and extracted in 2M NaOH mM D (+)-glucose and glycated albumin was prepared and standardized. Results: The retention time for amlodipine, losartan, losartan carboxylic acid and ramipril was 8.45, 2.22. 3.75 and 7.10 min. respectively. The resolution for any given pair of peak was more than 2.0. Amlodipine, losartan and LCA bind more than 95% to recombinant human serum albumin (rHSA), when studied individually. The protein binding of Losartan and LCA were not affected when spiked concomitantly with amlodipine, whereas, binding of Amlodipine to rHSA was decreased by 15-20% under similar conditions at supra pharmacological concentration level of LOS and LCA. The albumin binding capacity of all the analytes were reduced nearly seven to eight fold in the case of Gly-HSA. The in vitro protein binding studies with Gly-HSA have shown alteration in the corresponding albumin binding of Amlodipine, Losartan and LCA.

12 ABSTRACTS

M-S502 Selection Of Photovoltaic Solar Panel Using Pythagorean Fuzzy Technique For Order Preference By Similarity To Ideal Solution Animesh Biswas* And Biswajit Sarkar Department of Mathematics, University of Kalyani, Kalyani – 741235, West Bengal, India Email: [email protected]

Abstract This paper aims to propose a new multi-criteria decision making method based on technique fororder preference by similarity to ideal solution (TOPSIS) in Pythagorean fuzzy environment. In the proposed process, at first, completely unknown weights of criteria are determined through a newly alternatives. An illustrative example regarding selection of best photovoltaic solar panels available in defined Pythagorean fuzzy entropy weight model. Then TOPSIS is employed to find best ranking of solar market of West Bengal, India, is considered, solved and compared with the results obtained by existing new multi-criteria decision making methods to demonstrate the application potentiality of the proposed method.

Keywords: Non-conventional energy, Photovoltaic solar panel, Multicriteria decision making, Pythagorean fuzzy sets.

M-S503 Big Data Analytics Tools: A Review Anu Mangal, M. A. Rizvi 1- Department of Electronics & Communication Engineering, UIT-RGPV, Bhopal – 462033, M.P. India. 2- Department of Computer Engineering and Applications, National Institute of Technical Teachers’ Training and Research, Bhopal

Abstract Big data can be termed as high volume and velocity data as it contains the magnitude of petabytes and it is being generated at a very fast pace. Almost all the big organizations and enterprises are using big data as a source to learn consumers interest, demand of the market so as the increase their efficiency usually in unstructured or raw format. So, to convert this raw data into trustworthy data big data and profits. Big data is available in different forms such as text, graphics, image, video etc which are analytics is required. Thus, big data analytics can be viewed as a sub-process of insight extraction high velocity data. This paper aims to provide a detailed review and comparative assessment of latest from big data. Traditional data processing techniques are not sufficient to handle such high volume or tools and frameworks used for big data analytics.

Keywords: Big data analytics, high volume,comparitive assesment, tools

13 ABSTRACTS

M-S504 Multi-Layer Neural Network Based Parsing With Morphological Features For Projective Sentences Ashish Pradhan1, Archit Yajnik2,* Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, East Sikkim, India Email: [email protected]

Abstract Data driven parsing techniques like Transition and Maximum Spanning Tree based tends to have low accuracy for Indian languages as compared to Chinese and major European languages (EUL), which is due to the complexity of grammatical structures of these languages. Unlike EUL, Indian languages are these problems a Multi Layer Neural Network based Parsing approach for Indian languages using themorphologically Backpropagation rich learningand all of algorithm these features is proposed, are not where reflected features in the like training Phrase data structures, sets. To Parts-of- address speech tags, presence of Case Markers and Generic Markers are all expressed in the input patterns as d-dimentional vectors. The parser is trained with features of elementary 3-word, projective Nepali sentences.

Keywords:

Multi Layer Neural Network; Backpropagation learning algorithm; Parsing; Projectivity. M-S602 Estimating The Technical Efficiency, Input Excess And Output Shortfall Of Farm Machinery Manufacturers Using Slacks-Based Data Envelopment Analysis Manoj Kumar, V BhushanBabu and M B Tamhankar ICAR-Central Institute of Agricultural Engineering, Bhopal-462 038, India E-mail: [email protected]

Abstract using data envelopment analysis (DEA) and slacks-based DEA. For this purpose, primary data were collectedThe technical from the efficiency farm machinery of farm machinerymanufacturers manufacturers during 2017-18. in Central Out of Indiatotal variation has been observed estimated in half-normalmanufacturing and system, exponential 69 % wasdistribution due to technical respectively. inefficiency This shows and 31 that % thewas system due to stochasticcan be enhanced errors. furtherThe farm by implements 45.6% and 34.7%, were being respectively, manufactured using the with same technical inputs efficiency and manufacturing 54.3% and technology. 65.2% assuming It was found that 85.05% manufacturer shows increasing return to scale (IRS), 3.44% decreasing return to scale (DRS) and 11.49% constant return to scale (CRS). The input excess and output shortfall was also estimated using slacks-based DEA model for inefficient manufacturers. The inefficient manufacturers can become efficient after reducing their input and increasing their annual turnover. On an average, to be an efficient manufacturer, one has to reach annual turnover by INR 40.7 million and has to cut Keywords:off 1 salesman, 4 technicians, 8 helpers, 2 office staff and 1 service staff. based DEA Farm machinery manufacturers, technical14 efficiency, data envelopment analysis, slacks- ABSTRACTS

M-S603 Normality Criteria Of A Family Of Zero-Free Meromorphic Functions Dr. Shyamali Dewan Department of Mathematics Bhairab Ganguly College, Kolkata –700056, West Bengal, India Email: [email protected]

Abstract In this paper the result of Deng et.al (J. Aust.Math. Soc., 91 (2011)313-322) has been generalized in a manner that if F holomorphic function in D, k be a positive integer, also if H(f)-h has atmost k distinct zeros IM in D for be family of zero-free meromorphic(k) (k-1) functions(k-2) in a domain D and h(z)≢0 be a each f F then F is normal in D, where H(f)= f +ak-1 f +ak-2 f +……+a0 f. Further another result of Deng et.al (Acta. Math.Sinica,Eng. Ser. (2017)1-9) has been generalized in ∈ the form that if {fn} be a sequence of meromorphic functions in a domain D and {hn} be a sequence of functions holomorphic in D such that hn (z) h(z), h(z)≠0 fn (z)≠0 and f (k)(z)+a (z)f(k-1)(z)+a (z)f(k-2)(z)+……+a (z) f(z)-h (z) has atmost k(positive integer) distinct zeros n k-1 k-2 0 ⟹ n is holomorphic in D; also if (IM) in D then {fn} is normal in D.

Keywords: Meromophic functions, zero-free, sequence of functions, normality

M-S604 A Related Fixed Point Theorem of Rational Type on Complete Metric Spaces Uma shankar singh1, Naval Singh2 1 - Sagar Institute of Research & Technology Excellence, Bhopal, India 2- Govt. Science and Commerce PG College Benazeer, Bhopal, India

Abstract

The purpose of this paper is to establish a related fixed point theorem in three complete metric spaces point theorem for three metric spaces with the help of implicit relations. .our result generalized the Result of Gjono[16] for new rational expression and prove related fixed

Keywords: Fixed point, complete metric space, Cauchy sequence, implicit relations.

15 ABSTRACTS

T-S102 Variants Of Contractions In Graphical Metric Spaces With Applications Mudasir Younis, Deepak Singh Department of Applied Mathematics, UIT-Rajiv Gandhi Technological University (RGPV), E-mail: [email protected]

Abstract Recently a new approach has been attracting attention, dealing with the extension of various contractions to graphical metric spaces. In this presentation, we aim to present different types of theory. We elaborate on the newly proposed concepts in a novel way by portraying suitably directed contractions in the graph structure, coalescing the concepts of graph theory and metric fixed-point graphs. We also provide some examples in graph structure to show that our results are sharp as compared to the results in the existing state-of-art. Some mechanical and engineering applications are propounded to exhibit the potency and viability of our results. In the end, some open problems are proposed for future aspects of the study

Keywords:

Fixed Point; Graphical metric space; Directed graph T-S103 Weakly Compatible Mapping Satisfying (E.A) - Property In b-Metric Space Sharad Kumar Barve1, Qazi Aftab Kabir2 1- Department of Mathematics, J. H. Govt. P. G. College Betul, (M. P)-460001 (India)

- Department of Mathematics,Email: [email protected] Science College Bhopal, (M. P)-462001 (India)

Abstract

(E.A)- property in b-metric space. The proposed theorem expands and generalizes several well-known In this paper, we prove a common fixed point theorem for four pairs of mappings which satisfy the comparable results in the literature. Example is given showing that our result is proper extensions of the existing ones.

Keywords: b-metric space. Fixed points, Common fixed points, weakly compatible mappings, (E.A)-property,

16 ABSTRACTS

T-S104

Cone Ab-metric space and some related fixed point theorems K. Anthony Singh1, M. R. Singh2 1 - Department of Mathematics, D.M. College of Science, Imphal(Manipur), India 2 - Department of Mathematics, Manipur University, Canchipur(Manipur), India Email: [email protected]

Abstract

In this paper, we introduce the concept of cone Ab S - -metric space and prove some fixed point theoremsb metric space. in the new space. Our results generalize some fixed point results in cone metric space and cone

Keywords: cone metric space, cone Sb-metric space, cone Ab -metric space, fixed point

T-S201 Business Analytics And Optimization In Supply Chain Management: A Review Mayank Ramnani1, Vikram K. Gupta2, Rijul Chaturvedi2, Ravi Kishor Ranjan2 1 - Department of Information Systems , Indian Institute of Management, Indore 2 - Department of Operations Management, Indian Institute of Management, Indore Email:[email protected]

Abstract Business Analytics has emerged as one of the most important paradigm in today’s business scenario for gaining a competitive advantage by enabling data driven decision making. Analytics can help to improve supply chain performance and transparency, and satisfy the service level requirements. Supply Chain Management (SCM) has become a dominant and impactful way of securing competitive advantage for the organizations .To realize this, SCM requires a lot of complex decision making process across a hierarchy (at strategic, tactical and operational level) to minimize the costs and maximize the service value provided to the customer. Nowadays, organizations want their supply chain to become more data-driven to gain a better sense of customer needs and respond accordingly. Business Analytics enables supply chain, logistics,procurement and inventory managers to identify and understand that the seemless data sharing amongst the supply chain enablers, right from the manufacturer to the end customer results in breaking down of silos and leads to better coordination in the context of modern supply chain management and to identify the research scenario in the SCM domain.and response. The paper The objectiveattempts ofto thisdescribe paper the is tostate-of-the-art present the significance in research of in analytics the context and of optimization descriptive, predictive and prescriptive analytics through an investigation of existing literature concerning with the application of analytics in supply chain management.

Keywords: Supply Chian Management, Business Analytics, Optimisation, Descriptive analytics, Prescritive analytics, Predictive analytics. 17 ABSTRACTS

T-S202 Improved Document Retrieval Technique Using Optimization of User Query RachnaNavalakhe1, Nidhi Bhandari2 1 - Department of Applied Mathematics and Computational Science, SGSITS, 23, ParkRoad, Indore 2 - Department of Applied Mathematics, IET, DAVV, Khandwa Road , Indore. Email: [email protected]

Abstract

The classical techniques use different concepts for improving IR models such as categorization, Unstructured data processing and finding accurate information from IR models is a complex task. classification etc. This paper reviews different document retrieval techniques first and then an features then the retrieved features are organized in a Tuple. These Tuples are further used with fuzzy extension on previously introduced version is provided. This technique first pre-process data, extract c means algorithm to cluster the domain according to their features. This process reduces the time of search model. In addition to this, the new query generation and optimization technique is proposed in this work to prevent inappropriate query submission. The results with the different dataset shows the proposed IR model improves the performance in terms of efficient and accuracy.

T-S204 Existence of the solution for global optimization problems Gopal Meena Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, India. [email protected]

Abstract In this paper, we study about some global optimization problems and established the existence of their solutions, subject to the inequality constraints involving F-contractions in the setting of complete metric spaces. Illustrations of the main results through the examples are also given.

Keywords:

Optimization; F-contraction; metric spaces.

18 ABSTRACTS

T-S301 Fuzzy Metrics And Their Application In Computer Vision Mayank Sharma1 and Ramakant Sharma2 1 - Department of Mathematics, LNCT, Bhopal 2 - Department of Mathematics, Bansal College of Engineering, Mandideep, Bhopal 2 - Department of Applied Sciences, NITTTR, Bhopal

Abstract In this paper we present the application of fuzzy metrics in computer vision with some examples of fuzzy metrics in the sense of George and Veeramani. Impulsive noise is a problem encountered during the acquisition and transmission of digital images. Fuzzy metrics deals nicely with the nonlinear paper we use the generalised fuzzy metric space(In the sense of George and Veeramani) and obtained nature of digital images that are used in vector median-based ﬁlters for noise reductions. In this some results which can be used for the filtering techniques. Keywords:

Fuzzy metric space, Generalized Fuzzy n-Metric Space, vector median ﬁlters.

T-S301A Impact of Data Modelling in Business Analytics Shadab Pasha

Abstract In recent years due to the proliferation of Internet, the phenomenal growth in the data is seen. Learning from this data is not so easy due to various characteristics of it. To extract meaningful information out is indispensable. of it, data modelling plays a key role. The contribution of the mathematics in the field of data science Data modelling helps us to establish relationships among various types of information that are stored out of the stored data. Now a day’s data comes from everywhere, it may be from social networking in database. Good data modelling techniques are required for efficiently retrieval of information the information from the unstructured data, transform it into the relevant form and load it into the sites like facebook, twitter, whatsapp or e-commerce based site like flipkart, Amazon. To extract database required data modelling techniques. In this paper various aspects of data modelling are explored in the context of optimization and analysis. Also with different BI tools for reporting and analysing

Keywords: BI-Business Intelligence

19 ABSTRACTS

T-S302 Simulation Mappings And Fixed-Point Theorems Under S-Metric Space A.Padma1, M.Vijaya Kumar2 1 - Chaitanya Bharathi Institute Of Technology, Hyderabad 2 - bhopal

Abstract

In this paper, we prove simulation mappings and fixed-point theorems under S-metric space. Our results are stronger than some known fixed-point results. Furthermore, we give an application to the fixed-circle problem with respect to a simulation mapping. Moreover, these generalizations do not just include metric spaces; they include contractions, as well. The set of all simulation mappings. a metric space or some generalized metric spaces with some illustrative examples There are some examples of we investigate solutions to the fixed-circle problem, various methods on

Keywords: circle problem Fixed point; fixed point theorem, fixed disc; S-metric space; simulation mapping fixed-

T-S302A Common Fixed Point Theorems Using Compatible Maps In D-Metric Spaces Over Topological Semi Field Uday Dolas Department of Mathematics, Chandra Shekhar Azad Government P. G. College, Sehore (M.P.), E-mail: [email protected]

Abstract In this paper, we introduce the concepts of compatible mappings in D- metric spaces over Topological semi field and prove the common fixed point theorem.

20 ABSTRACTS

T-S303 Common Fixed Point Theorems In Complex Valued Metric Space Using Implicit Relation Dr. Preeti Sengar Department of Applied Mathematics and Computational Science, SGSITS Indore (M.P.) Abstract Banach contraction principle in gives appropriate and simple conditions to establish the existence and uniqueness of a solution of an operator equation Tx = x. Later, a number of papers were devoted to the improvement and generalization of that result. Most of these results deal with the generalizations of the different contractive conditions in metric spaces. The aim of this paper is to prove the existence and maps in complex valued metric space using implicit relations. The obtained results generalize and extenduniqueness some of of a thecommon well-known fixed point results for ina pairthe literature.of mappings satisfying occasionally weakly compatible

T-S303A Performance Analysis Of Crypto-Stego Algorithms For Multimedia Data Security: Survey Sneha Soni, Dr. Aarti Kumar Ph D Research Scholar, RNTU University,Associate Prof., RNTU University, Dept of CSE Email: [email protected]

Abstract As in the recent era, due to the easy accessibility of multimedia data especially video, image, text audio from the internet, data security has become the major issue. Few of the multimedia data including important and sensitive information related to the major aspects of society like politics, militaries, banking operations, personal information, economics, educations, etc. and it becomes very necessary to protect its integrity and identity. In order to ensure the security of the multimedia data used on the internet, information security provides major techniques like Cryptography, Steganography and Watermarking. In this paper detailed review is provided with a major focus on a combination of two well-known information security methods i.e. cryptography and steganography (Crypto-Stego algorithms) with their performance analysis and previous contribution to ensure security. To judge the performance of the cryptography algorithm few metrics are analyze like processing speed of the algorithm, encryption/decryption time, throughput, key size, etc, similarly, steganography algorithm performance is measure by hiding capacity, mean square error, root mean square error, PSNR, quality index, correlation, structural similarity index, and security. Finally, in the concluding remark, some future directions are highlighted to ensure multimedia data security with the combination of other information security methods.

Keywords: Information Security, Cryptography, Steganography, Performance Evaluation Parameters

21 ABSTRACTS

T-S304 Some Common Fixed Point Theorem Using Faintly Compatible Maps In Modified Intuitionistic Probabilistic Metric Space With Common Property (E.A.) Devendra Solanki1, Manish Sharma2, Varsha Mandwariya3 1,2 - Department of Mathematics, IEHE Bhopal , M.P. India 3 - Sant Hirdaram Girls Colleg,e Bhopal, M.P. India. E-mail :[email protected]

Abstract property of EA. We will prove new theorems and examples using faintly compatible maps in In this paper we define the concept of modified intuitionistic probabilistic metric space the common modified intuitionistic probabilistic metric space. Our main goal is to use common property EA in Menger probabilistic metric space satisfying an implicit relation. new directions. Our results has prove some common fixed point theorem in modified intuitionistic

Keywords: Fixed point theorem, compatible mapping, Probabilistic metric space, Common (E.A) like

T-S304A Some Coupled Fixed Point Theorems Using Nonlinear Contractive Mappings Virendra Singh Chouhan1, Deepti Sharma2 1 - Department of Mathematics and Statistics, Manipal University Jaipur, India. 2 - Department of Mathematics, Ujjain Engineering College, Ujjain Email- [email protected] Abstract

In this paper, we are establishing some coupled fixed-point theorems for nonlinear contractive point we provide some aspects to application to integral equations. mappings endowed with partially ordered metric spaces. To support the application of coupled fixed

Keywords:

Coupled fixed point, partial ordered, complete metric space.s

22 ABSTRACTS

T-S305 Convergence Analysis Of An Iteration Involving Two G-Nonexpansive Mappings Sabiya Khatoon Department of Mathematics Jamia Millia Islamia New Delhi-110025, India. Email: [email protected]

Abstract In this paper, we studied the convergence analysis of a new iteration involving two G-nonexpansive mappings in uniformly convex Banach space associated with a directed graph. By constructing a numerical example, we show the fastness of our iteration procedure over other existing iteration procedures.

Keywords: graph. G-nonexpansive mapping, weak and strong convergence, common fixed point, directed

T-S306 Fixed Point Results in Complete Metric Spaces Sonika Raghuvanshi1, Vijay Gupta2, Ramakant Bhardwaj3 1,2 - Department of Mathematics, RGPV Bhopal 3 - Department of Mathematics, AMITY University Kolkata (W.B.) India. Email: [email protected]

Abstract of pure and applied mathematics as well as in physical, economic or life sciences also equilibrium One of the most dynamic area of research of the last 60 years with a lots of applications in various fields states of an economy, optimization processes solutions, fractals, closed orbits in a system of mutually gravitating bodies etc. are fixed points of an appropriate operator. There are numerous extensions of Banach’s fixed point theorem by generalization its hypothesis while retaining the convergence extension of Banach Contraction principle is established in complete metric spaces for generalized property of successive iterations the unique fixed point of mapping. In the present paper some weekly contractive mappings in complete metric space which generalize many well-known results

Keywords: Fixed point, generalized weekly contractive mapping

23 ABSTRACTS

T-S307 Some Common Fixed Point Theorem using faintly compatible maps in modified intuitionistic probabilistic metric space with common property (E.A.) Devendra Solanki1, Manish Sharma2, Varsha Mandwariya3 1,2- Department of Mathematics, IEHE Bhopal , M.P. India 3- Sant Hirdaram Girls Colleg,e Bhopal, M.P. India. E-mail id:[email protected]

Keywords: Fixed point theorem, compatible mapping, Probabilistic metric space, Common (E.A) like

T-S308 Results On Cyclic Best Proximity Point Theorems Madhu Singh VNS college, bhopal [email protected]

Abstract suitable assumption. The results are established in the setting of G-Metric spaces. Thereafter by This paper involves best proximity point theorems akin to fixed point theorems under various making consequent use of the best proximity point method, short and elegant proof are obtained for solution of Suitable examples are also presented to explain the application of inequality involved.

Also specific values to involved constant provide renowned existing results. Keywords: Best Proximity point ,G-Metric space, Generalised cyclic mapping, cyclic contractive mapping.

24 ABSTRACTS

T-S309 A Study Of E-Convex Sets And E-Convex Functions With Reference To Convex Soft Sets Dr. Bhawana Bhatt1 and Dr. Geeta Modi2 1, - Department of MathematicsBhagat Singh PG collge Jaora,M.P.,India 2 - Department of Mathematics Govt. Motilal Vigyan Mahavidyalaya,Bhopal,M.P.,India Email : [email protected]

Abstract E-convex sets and E-convex functions are generalizations of convex sets and convex functions which play important role in optimization problems. In the present paper we study the concept of E-convex sets and E-convex functions with reference to convex soft sets,introduced by Deli.We further extend our study to convex hull and the cone of a soft set.

Keywords: E- convex sets, E - convex functions, convex soft sets.

T-S310 Applications Of Corrected Quadrature Rule For Singular Integrals Indrayani Sutar1, Sarita Thakar2 1- Department of Mathematics, Dr. D. Y. Patil Institute of Technology, Pimpri, Pune, India 2 - Department of Mathematics, Shivaji University, Kolhapur, India. E-mail :[email protected]

Abstract A new corrected quadrature rule is constructed to evaluate singular integrals of the form . The rule is derived by approximating unknown function by Hermite interpolating polynomial. proposed method is that it produces reliable results when some mesh points coincide with singular Zeros of first kind Chebyshev polynomials are chosen as mesh points of interpolation. Advantage of point. Method is illustrated with some suitable examples.

Keywords: Singular integral, Hermite interpolation, Corrected quadrature formula.

25 ABSTRACTS

T-S311 A Numerical Solution for the Heat Equations using Trigonometric Cubic B-Spline Uday Singh Department of Mathematics and Computer Science Rani Durgavati University, Jabalpur, M.P., India Email : [email protected]

Abstract The trigonometric cubic B-splines approach for solving one-dimensional heat equations is considered while the trigonometric cubic B-spline is implemented in the space dimension as an interpolation in the present study. A standard finite difference approach had been used to discrete the time derivative function. The accuracy of the method for heat equation is discussed. The analytical results indicate that they are in good agreement with the exact solution.

Keywords:

Heat equation; Trigonometric cubic B-splines; Truncation error; Interpolation function.

T-S401 Set-Valued Variational Inclusion Problem With Fuzzy Mappings Involving XOR-Operation Imran Ali Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh–202002, India Email: [email protected] Abstract In this paper, we introduce a set-valued variational inclusion problem with fuzzy mappings its properties. An existence and convergence result is proved for set-valued variational inclusion involving XOR-operation. We define a resolvent operator involving a bi-mapping and prove some of and a particular case of our main result is also proved for classical mappings. Some examples are problem with fuzzy mappings involving XOR-operation without using the properties of a normal cone constructed.

Keywords:

Algorithm, Fuzzy mapping, Inclusion, XOR-operation, Set-valued.

26 ABSTRACTS

T-S402 Credibilistic Semi-variance of Trapezoidal Fuzzy Variable and Its Application to Select Portfolios in Fuzzy Environment Jagdish Kumar Pahade1, Manoj Jha2 Department of mathematics, Maulana Azad National Institute of Technology (MANIT), Bhopal, 462003, India E-mail: [email protected]

Abstract The credibility theory (Branch of fuzzy set theory) is broadly utilized to describe uncertainty of and applied this concept to quantify the portfolio risk in the stock portfolio selection. A mean- the ﬁnancial markets. This paper obtains credibilistic semivariance of trapezoidal fuzzy variable semivariance- skewness model is proposed with numerical illustration taking historical data set from problem, optimal goal programming approach is suggested. Furthermore, results comparison of the Indian premier market for ﬁnancial assets. To solve the proposed multi-objective optimization semivariance as risk measure with other risk measures is performed.

Keywords: Trapezoidal fuzzy variable, Credibilistic semivariance, Fuzzy portfolio selection, Goal programming.

T-S403 Fixed Points Of Expansive Mappings In A-Metric Space Sachin Dev Kushwaha1, P. L. Sanodia2, Manoj Ughade3 1- Department of Mathematics, IES Group of Institutions, Madhya Pradesh,India 2-Department of Mathematics, Institute for Excellence in Higher Education, Bhopal, Madhya Pradesh, 3-Department of Mathematics, Government J.H. Post Graduate College, Betul, P.O. Box 460001, E-mail: [email protected] Abstract results extend/generalize many pre-existing results in literature In this paper, we prove some fixed point theorems for expansive mapping on A-metric spaces. Our

Keywords:

A-metric space; expansive mapping; fixed point

27 ABSTRACTS

T-S404 Fixed Point Theorems for F*- contraction in Fuzzy Metric Spaces Vizender Sihag1 and Bijender Singh2 1- Faculty of Physical Sciences, GJUS&T, Hisar 2-Research Scholar, Department of Mathematics, GJUS&T, Hisar Email id.: [email protected]

Abstract In this article, we introduce a new notion of F*- contraction in setting of fuzzy metric spaces and way than in the known results from recent the literature. Further, we include illustrative examples in prove fixed point theorems, providing new generalization to Banach contraction principle in different support of our results.

T-S405 Fuzzy Number – A New Hypothesis And Its Algebra Dr. Vijay .C. Makwana1, Dr. Vijay. P. Soni2 Department of Mathematics, Government Engineering College, Patan, Gujarat, India E-mail: [email protected]

Abstract In this paper a new hypothesis of fuzzy number has been proposed which is precise and direct. This new proposed approach is considered as an equivalence class on R with its Algebraic structure structured compendium that offers both a deeper knowledge about the theory of fuzzy numbers along with theoretical analysis and computational results. Newly defined hypothesis provides a well- and an extensive view on its algebra making it a resource for students, researchers, and practical engineers.

Keywords:

Fuzzy Number; arithmetic of fuzzy numbers; fuzzy algebraic structure.

28 ABSTRACTS

T-S406 Fuzzy Additive Group And Fuzzy Multiplicative Group Dr. Vijay. P. Soni1, Dr. Vijay .C. Makwana2 Department of Mathematics, Government Engineering College, Patan, Gujarat, India E-mail: [email protected] Abstract Since inception, for fuzzy group only one algebraic operation on the crisp set is used which gives identical values of membership function. For better results the identical values of membership multiplication on the crisp set functions are inefficient. Due to this problem, in this paper two algebraic operations addition and different way so that and has been introduced. For which membership functions defined in are satisfied. The provide future resources for new researcher in fuzzy mathematics. main purpose of this research is to introduce a field structure on the membership values which

Keywords:

Membership function; fuzzy algebraic operations; fuzzy group.

T-S407 Common Fixed Point Theorem In Fuzzy Random Space Anil Rajput1, Manish Sharma2, Prem Pratap Singh3 1,2,3 - Department of Mathematics, CSA Govt. PG Nodal College Sehore, M.P. India. E-mail id:[email protected] Abstract theory of fuzzy metric space and random space. Our main objectives of this paper are to discuss In this paper we are proving a common fixed point theorem for random fuzzy space using by the and generalizations of previous proved theorems of many authors. already existence results and give new various definitions and examples. Our theorems are extension

Keywords:

Fixed point theorem, Common fixed point theorem, Fuzzy metric space, Random variable

29 ABSTRACTS

T-S408 An Application Of Fuzzy Lipschitz Maps For Nonlinear Contractions In Kaleva–Seikkala’s Type Fuzzy Metric Spaces Mayank Sharma1 and Ramakant Sharma2 & Deepak Singh3 1-Department of Mathematics, LNCT, Bhopal 2-Department of Mathematics, Bansal College of Engineering, Mandideep, Bhopal 3-Department of Applied Sciences, NITTTR, Bhopal

Abstract In this paper using the concept of Fuzzy Lipchitz maps introduced by [G Yuna,, S Hwang, and J Chang,

(2010) 1117–1130] between GV-complete fuzzy metric spaces and we establish some new results Fuzzy Lipschitz maps and ﬁxed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 161 fornonlinear contractions in Kaleva–Seikkala’s type fuzzy metric spaces which are very new to the literature and also lead to a new dimension on the application part fuzzy Lipschitz maps for various contractive conditionsin different spaces.

Keywords:

Fuzzy metric spaces; Fuzzy numbers; Nonlinear contraction; Fixed point.

T-S409 Study Of Day To Day Variation Of M(3000)F2 At Low Latitude Station Bhanupriya1, Madhuri Singh2, S.K Vijay3 1-Research Scholar Barkatullah University, Bhopal 2-Research Scholar Barkatullah University, Bhopal 3-Govt. Maharani Laxmi Bai Girls P.G. College, Bhopal

Abstract In this paper, the day to day variability for M(3000)F2 parameter of F-region for a low latitude station Darwin(12.47S,130.85E) for the year 2014 studied. The diurnal, seasonal and monthly variation of M(3000)F2 parameter has been studied. The standard deviation method is used to analyze the variation of M(3000)F2 parameter. The seasonal variation is divided into three seasons- winter months, equinoxial months and summer months. In the study it has been found, the diurnal percentage deviation of M(3000)F2 is high in the night time than day time. For seasonal variation, the variation of percentage deviation of M(3000)F2 for the night is high in summer months as compared to winter months and equinoxial months. For monthly variation, the percentage deviation of M(3000)F2 is high in November and low in March and September.

Keywords: Variability, F-region, Low latitude.

30 ABSTRACTS

T-S411 Discussion On Graphical Rectangular Metric Space And Fixed Point Results Pravin Baradol1, Dr. Dhananjay Gopal2 Applied Mathematics and Humanities Department, SVNIT, Surat, India. E-mail: [email protected]

Abstract In this paper, we introduce a graphical version of a rectangular metric space, namely a graphical examples are also given. Our result generalize and extend some known results existing in this rectangular metric space. We then prove the fixed point theorems in the aforesaid space. Supporting literature.

Keywords:

Graph; Graphical rectangular matric; Banach (G, G’)-contraction. T-S501 Mathematical Modeling Of Solar Chimney For Air Ventilation In A Room Using Passive Ventilation Method Krishna Singh Rajput1, V. N. Bartaria2 1- Ph. D Scholar, Mechanical Engineering Department, LNCT University Bhopal. 2- Professor, Mechanical Engineering Department, LNCT Bhopal. Email: [email protected]

Abstract

In recent years passive ventilation has proved to be better option for improving indoor thermal environment.Passive ventilation Previous method studies is an focuses efficient mainly approach on achievingto save energy improved in building ventilation and secure performance environment. both experimentally and theoretically in ideal condition, whereas small sized equipment are generally considered for experimental studies. A mathematical model and numerical investigation on solar chimney was proposed to predict performance under varying atmospheric condition and geometrical features to induce ventilation building. The observation was compared with theoretical calculation and numerical simulation. The experimental results for a solar chimney of 6.2m length, 2.8m width and 0.35m air gap shows that air flow rate of 70.6m3/h – 1887.6m3/h can be achieved during the daytime in the testing day. On comparison it is found that the flow rate of the measured value is seasongenerally from lower April than to Novembertheoretical the value. simulation In real engineering result shows project, that solar the suggestedchimney can discharge be used coefficient for saving Cd of solar energy is taken as 0.51. By using the suggested discharge coefficient value, during the energy for residential building for both summer and winter season. energy with an energy saving rate of about 14.5%. Hence solar chimney is an efficient way to save Keywords: Solar chimney, ventilation, collector, solar radiation.

31 ABSTRACTS

T-S502 On The Minimum Eigenvalue Of The Fan Product Of M-Matrices Leena Sharma1, V. H. Badshah2, H.K. Patel1 1- Department of Mathematics, Ujjain Engineering College, Ujjain 456010, 2- School of Studies in Mathematics, Vikram University, Ujjain 456010, E-mail: [email protected]

Abstract In this paper a new inequality on the minimum eigenvalue of the Fan product ofnon-singular M-matrices is proposed. This bound improves some existing results. We also give some numerical examples to show that the bound is better than some previous results.

T-S503 Optimizing Distributed Computing in the context of Deep Learning Lokendra Gour, Dr. Akhilesh A.Waoo Assistant Professor, Associate Professor and HOD Department of Computer Science, Department of Computer Science Applications and Technology RGCCAT Satna(M.P.) India, AKS University,Satna(M.P.) India Abstract applying deep learning approach in distributed systems, multiple processing units may enhance the In the era of data science distributed computing plays a significant role of data analytics.By performance of the system. In spite of this distributed system encounters major and drastic problems of faults, errors or failure of the entire system. Deep learning approach can play a significant role by computer system is drastically improved by incorporating the deep learning algorithms. There is deploying multiple processing units or entities in distributed environment. Efficiency of distributed a great need of deep learning approach to resolve the problem of organizing massive resources in distributed computing. Distributed deep learning (DDL) provides the mechanism to solve the critical problems like selection of the system, distribution of computations among the various systems occurred in distributed computing environment..Deep learning encapsulates multiple processing elements or agents to each resource of distributed system. Data-parallelism is the basic approach for deep learning. Data security and privacy are the key issues to implement machine learning and deep learning approach.

Keywords: Distributed computing, machine learning, deep learning, data security, privacy

32 ABSTRACTS

T-S505 Patterns Of Ionospheric TEC Variations And Its Synchronization With Solar Activity Indices During Solar Maxima And Minima Phases Mahesh Parwani1, Dr. P.K. Purohit2 1- Department of Physics, Barkatullah University, Bhopal – 462026, MP, India. 2- National Institute of Technical Teachers’ Training & Research, Shamla Hills, Bhopal, M.P, India. Email- [email protected]

Abstract

The Aperiodic fluctuations in the Solar Activities intensively affect ionospheric TEC (Total Electron present study, we have used three Solar Activity Indices [viz. Sunspot Number (Rz), Solar Extreme Contents). These fluctuations are commonly studied with the help of Solar Activity Indices. For the Ultraviolet Flux (EUV) and Coronal Mass Ejections (CME)]. These indices provide a wonderful opportunity to remotely observe the different Solar Phases. The aim of this study is to observe the relationship between the Solar Activity Indices and the Ionospheric TEC during the Solar Maxima year 2012 and the Solar Minima year 2017 at low latitude station Pathum Wan, Thailand (CUSV) at 13.74°N & 100.54°E. We observed weak ionospheric activities (lower values of TEC) during Solar Minima year 2017 and strong ionospheric activities (higher values of TEC) during Solar Maxima 2012. It was also seen that both the solar extreme periods follow the same seasonal pattern, showing maximum seasonal TEC during Equinox and the minimum seasonal TEC during summer. It was also observed that the

-36 nm) during the maxima and the minima periods. It was noticed that this agreement was more TEC variation shows close agreement with CME occurrence, Sunspot Number (Rz) and EUV flux (24 prominent during the Solar Maxima period than that of the solar Minima period. We also studied two parameters of CMEs, viz. linear speed and angular width. We observed a higher number of Halo and Faster CMEs (CMEs with higher energy) during the Solar Maxima year than that of the Solar Minima year. It was also seen that the average CME speed during the Solar Maxima period was 384.5km/s, whereas during the Solar Minima period this speed was 303.7km/s.

Keywords: Solar Minima, Solar Maxima, CME, EUV, Sunspot Number.

33 ABSTRACTS

T-S506 Effect Of Bottom Undulation For Mitigating Wave-Induced Forces On A Floating Bridge R. B. Kaligatla1, Manisha1, T. Sahoo2 1 - Department of Mathematics & computing, Indian Institute of Technology (ISM) Dhanbad , India. 2- Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology Kharagpur, India Email: [email protected]

Abstract and a trench is developed. The breakwaters and trenches are considered to be of trapezoidal and A model for oblique wave interaction with a floating bridge in the presence of a submerged breakwater waves and reducing resulting forces on bridge. The analysis is performed by utilizing solutions derived circular types. The performance of these undulations in bottom bed are analyzed in detail for reflecting with the aid of modified mild-slope equation in the undulated bottom region and of eigen function to consideration of these undulations in bottom bed as compared to those in the case of uniform expansion in uniform bottom region. Significant changes are found in wave reflection and forces due bottom everywhere in fluid region. The present study shows certain range of wave incident angles at which the breakwaters and trenches perform effectively in reflecting waves and thereby reducing forces. A complementary connection is justified between reflection of waves and consequent forces on and intermediate water depth. The critical values are found to lead an increase in forces and for these bridge. Moreover, critical wavenumbers and angles where zero reflection occurs are found in shallow values appropriate gap lengths between bridge and breakwater or trench, width of breakwater and trench are explored. Phase shift in reflection and forces is observed due to the inversion of undulated profiles. Within a periodic value of the distance between the breakwater/trench and the floating bridge, optima in wave reflection occurs. In addition, the maxima in wave reflection is associated likely to be useful in understanding the role of breakwaters and trenches in engineering applications. with the minima in wave forces acting on the floating bridge. The findings from the present model are

34 ABSTRACTS

T-S507 Generalized Contractive Condition And Fixed Point Results In Complex Valued Fuzzy Metric Spaces Om Prakash Chauhan1, Deepak Singh2 1- Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur, India. 2- Department of Applied Sciences, National Institute of Technical Teachers Training and Research(NITTTR), Bhopal, India. Email: [email protected]

Abstract In this article, recognizing the innovative concept of complex valued fuzzy metric spaces, we introduce results in the framework of complex valued fuzzy metric spaces. To substantiate the authenticity of a new concept of generalized complex valued fuzzy contractive mapping and proved some fixed our results some illustrative examples are also furnished.

Keywords:

Complex valued fuzzy metric spaces, Cauchy sequence, fixed point theorem.

T-S508 On the local convergence analysis of Homeier’s-like method in Banach spaces under ω-continuity condition Neha Gupta1, J.P. Jaiswal2 1,2- Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, India E-mail: [email protected]

Abstract In this article, our aim is to study the local convergenceof the multi-step Homeier’s-like method to solve nonlinear equationsunder a weakerassumption where the nonlinear operator’s first-order Fréchet derivative satisfies the ω-continuity condition. The convergence of the solution under the for validating the theoretical contribution discussed in this study are given. hypotheses applied only to the first derivative is proved in this article. Some numerical illustrations

Keywords:

Banach space, local convergence, recurrencerelation, ω-continuity condition.

35 ABSTRACTS

T-S509 Comprehensive Analysis Of High-Mid And Low Latitude Of Ionosphere During The Geomagnetic Storms In January 2005 Bhupendra Malvi1, Sharad C. Tripathi2, and P. K. Purohit3 1- Department of Electronics, Barkatullah University, Bhopal -462026, M.P., India 2- VIT Bhopal University, Kotri Kalan Sehor-466114 M. P., India 3- National Institute of Technical Teachers’ Training and Research, Shamla Hills, Bhopal-462002, M.P., India Email: [email protected]

Abstract This paper describes a comparative study of ionospheric to Geomagnetic Storms during month of

January 2005, active enough in terms of magnetic field perturbations and ionospheric variability, undertaken into the study in response to the Solar Flares and Coronal Mass Ejections (CMEs), of Solar Cycle 23. Short term and long term effects, in terms of ionospheric parameters; have been respectively. Sudden enhancement in ionospheric parameters like foF2, NmF2 aftermath to Flares and enhancement due to Geomagnetic Storms has been observed during this period. This month witnessed many solar events and due to which a number of parametric perturbation in ionosphere has been observed. Such type of studies will surely help in understanding the causal relationship between the ionospheric perturbations and solar events and also to discriminate between short and long term effects due to Flares and Geomagnetic Field perturbations.

Keywords: Geomagnetic storm, Ionospheric variability.

T-S510 Iterative Methods For Solving Non Linear Matrix Equations And Convergence Analysis Sourav Shil1, Hemant Kumar Nashine2 Department of Mathematics, Vellore Institute of Technology, Vellore, Tamilnadu, India Email:[email protected]

Abstract

Non linear matrix equation crop up in n number of fields such as ladder networks, stochastic of uniqueness solutions of the equation X +A*F(X)A = Q. Appropriate iterative methods for estimating filtering, control theory and many diverse areas. We discussed suffcient conditions for the existence the defnite positive solutions are described here.

Keywords: Non Linear Matrix Equations, Iteration, Convergence Analysis

36 ABSTRACTS

T-S511 Application Of Convergent Sequences To Fixed Point Theorems In Complex Valued Metric Space Anil Badal1, Dr. Deepak Singh2 1- Govt. Dr Shayama Prasad Mukharjee Science and Commerc college (Old Benzeer ), Bhopal 2- Department of Applied Sciences, National Institute of Technical Teachers Training and Research(NITTTR), Bhopal, India. Email: [email protected]

Abstract

In this work we prove some fixed point theorems in complex valued metric space. Also we investigate the existence of fixed point for a linear combination of different type of fractional terms contraction Also some examples are given to support the obtained result. Our main theorem covers multitude mappings. Furthermore we investigate about the convergence of sequences to a common fixed point. of recent works as particular case, showing superiority of our result over to other results of existing literature.

Keywords:

Complex valued metric space, fixed point, Linear Combination, Convergent Sequence. W-S101 A New Three Step Iteration Process For The Approximation Of Fixed Points Manoj Kumar1 , Dr. H. K. Pathak1 S.o.S. in Mathematics, Pt. R. S. U. Raipur (C.G.) India Email [email protected]

Abstract The purpose of this paper is to introduce a new three step iteration process for the approximation algorithm for the contraction mappings. We support analytic proof by a numerical example in which of fixed points of the nonexpansive mappings and proved that it is faster than some known iterative w e a p p r o x i m a t e t h e f i x e d p o i n t . W e a l s o p r o v e d s o m e w e a k a n d s t r o n g c o n v e r g e n c e t h e o r e m s f o r t h e problems and split feasibility problems. nonexpansive mappings. We applied our results for finding solutions of constrained minimization

Keywords: Iterative algorithm, weak and strong convergence, constrained optimization problem, split feasibility problem.

37 ABSTRACTS

W-S102 Theory Of Frames In Signal Processing Jamkhongam Touthang Department of Applied Mathematics, Delhi Technological University Bawana Road, Delhi 110042, India E-mail: [email protected]

Abstract The concept of orthonormal basis is of fundamental importance in signal processing. The redundant counterpart of a basis is a frame. The basic concepts and relevant characteristics of frames for applications in signal processing are presented. Some challenges and open problems in signal processing are discussed.

Keywords: orthonormal basis, frames, applications of frames, signal processing, frames in signal processing.

W-S104 Generalized Identities Involving Common Factors Of Bivariate Fibonacci And Bivariate Lucas Polynomials Y. K. Panwar1 and Jaya Bhandari2 1- Department of Mathematics, Govt. Model College, Jhabua, India 2- Department of Mathematics, MandsaurUniversity, Mandsaur, India E-mail: [email protected]

Abstract In this paper, we present generalized identities involving common factors of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.

Keywords: Bivariate Fibonacci polynomial, Bivariate Lucas polynomial and Binet’s formula.

38 ABSTRACTS

W-S105 STABILITY ANALYSIS OF PREY PREDATOR MODEL WITH HARVESTING Dinesh Kumar Verma Department of Mathematics, Govt. P.G. College, Seoni, Jabalpur (M.P.) E-mail:[email protected]

Abstract In this paper, analysed of the prey predator model. We discussed of two prey and one predator. we and discussed with equilibrium points. In this paper deals with the positive locally asymptotically define prey predator model with susceptible and infected prey. The stability analysis of the system stability of the prey predator system.

Keywords: Prey-Predator Model, SI Models, Population Dynamics, Local Stability.

W-S106 Early Reviewer Prediction Of E-Commerce Website Through Classic Rogue Bell Curve Technique Ms. Pinky Rathore1, Sneha Soni2 1- M.Tech Scholar, Dept. of CSE SIRTE, Bhopal 2- M. Tech Guide Dept. of CSE SIRTE, Bhopal Email: [email protected]

Abstract Now a day’s online reviews have become an important source of information for users before making an informed purchase decision. Early reviews of a product tend to have a high impact on subsequent product sales. Early reviewers are those who have posted a review in the early stage based on their rating behavior received from others and the correlation of their reviews with product popularity. and its sell. In this paper, we take the initiative to study the behavior characteristics of early reviewers throughPrediction their of the posted product reviews early on reviewers two real-world from the large e-commerce e-commerce website platforms, influences i.e., product Amazon popularity and Yelp. In order to do this, we divided product lifetime into three consecutive stages, namely early, majority and laggards with the help of the Classic Rogue Bell Curve Technique. By viewing the review posting process as a multiplayer competition game, we propose a novel margin-based embedding model for early reviewer prediction. Extensive experiments on two different e-commerce datasets have shown that our proposed approach outperforms a number of competitive baselines.

Keywords: Classic Rogue Bell Curve Technique, Early review prediction.

39 ABSTRACTS

W-S107 Analysis Of Geomagnetic Storm Effects On The Ionospheric F Layer Over Northern And Southern Hemisphere Rafi Ahmad1, Azad A. Mansoori2, P. K. Purohit3 1- Department of Electronics, Barkatullah University, Bhopal -462026, M.P., India 2- Govt. P.G. College, Tikamkarh- 472001, Tikamkarh, M.P., India 3- National Institute of Technical Teachers’ Training and Research, Bhopal, 462002, M.P., India

Abstract Email : [email protected] In the present study we have studied response of ionospheric F layer critical frequency (foF2) to geomagnetic storm over northern and southern hemisphere. To accomplish this study we have selected two stations one in northern hemisphere , I-Cheon (37.40 N, 127.540 E) of South Korea and another one in southern hemisphere, Hermanus (-34.420 N, 19.220 E) of South Africa. For this study we have selected two geomagnetic storms of 17 March 2015 and 8 September 2017 from our study and lowest values were observed during the recovery phase of geomagnetic storm. Such studies are we find that during the main phase of the geomagnetic storm the foF2 values reached its maximum important for accurate forecasting and modeling of critical frequency of ionospheric F2 layer which is very useful for high-frequency communication.

Keywords:

Ionosphere, Geomagnetic storm, Critical frequency (foF2), X- ray flux.

W-S108 Common Fixed Point Of A Non-Lipschitzian Semigroup In A Nonlinear Space With Graph Sajan Aggarwal Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India. E-mail:[email protected]

Abstract

An existence theorem of common fixed point for semigroup of contraction mappings endowed with asymptotically nonexpansive mappings in hyperbolic metric space has been proved. graph has been proved. Also, an existence theorem of common fixed point for semigroup of G-nearly

Keywords: Hyperbolic Metric Space, G-Nearly Asymptotically Nonexpansive Mapping, Fixed Point Theorems, semigroup of mappings

40 ABSTRACTS

W-S201 Semi-Local Convergence Analysis Of Sixth Order Method Under Ho ̈Lder Continuity Condition Dr. Mona Verma and Dr.Pooja Sharma

Abstract In this project,we have studied the semi-local convergence analysis of well-established sixth-order has been done under the recurrence relation technique. a convergence theorem has been established method under the weaker continuity condition i.e. Ho ̈lder continuity condition. The convergence along with its error bound expression.

We have verified the developed theory by a numerical illustration where the previous theory fails.

W-S202 Applications Of Improper Integrals In Fourier Transform Dr. Chitra Singh1, Mr. Hiramani Patel Email: [email protected]

Abstract Different Engineering applications require dealing with improper integral on unbounded domains elementary Calculus (ant derivatives and limit computations) or using numerical approaches. In (improper integrals of the first kind). The classical way for solving these integrals is by means of both situations different problems can arise. For example: the non- existence of anti derivative, the corresponding limit does not exist or integrals depending on parameters which complicate the use of numerical approaches. “In this paper we study the existence of improper integrals of Fourier transform. The so obtained results combined with rate of convergence of improper integral are then applied to Fourier transform and derive to convergent & divergent form of Fourier transform such as (Fourier sine transform & cosine transform”)

41 ABSTRACTS

W-S203 On slack 2-geodesic convex sets and geodesic E-pseudoconvex functions Praveen Kumar1, Akhlad Iqbal2 Department of Mathematics Aligarh Muslim University, Aligarh-202002, India Email: [email protected], [email protected]

Abstract In this paper, we introduce a new class of sets named as slack 2-geodesic convex set on Riemannian manifolds. By a suitable example, we show that it is a different class of geodesic convexities. We also functions. We establish some relationships between geodesic E-pseudoconvex functions, geodesic define geodesic E-pseudoconvex functions and study some properties of geodesic E-quasiconvex E-quasiconvex functions and slack 2-geodesic convex sets. Furthermore, we present an application of geodesic E-quasiconvex functions to nonlinear programming problems.

W-S204 Weighted Lupas Post Quantum Bezier Curves Mohammad Iliyas Department of Mathematics, Aligarh Muslim University, Aligarh-202002., India Email: [email protected] Abstract q)-integers as shape parameters for all p > 0 and q > 0. A two parameter family of rational rational This paper deals with a new generalization of rational Lupas Bernstein-B_ezier curves involving (p;

Bernstein-B_ezier curves, weighted Lupas (p; q) Bezier curves, are constructed based on a set of totally positive bases and their degree elevation properties has been studied. This new genralization Lupas (p; q)-analogue of Bernstein blending functions. These blending functions are normalized a geometric point of view. This investigation provides the geomtric meaning of the weights and the of rational Bernstein-Bezier curves involving (p; q)-integers as shape parameters is investigated from representations of conic sections. The new curves have properties similar to weighted Lupas q-Bezier curves. We have also studied degree evaluation and de Casteljau algorithm by means of homogeneous coordinates. Furthermore, in comparison to classical rational Bezier curves, Lupas q-Bezier curves, exibility and better approximations to the control polygon. Lupas (p; q) Bezier curves and weighted Lupas q-Bezier curves, our generalization gives us more

Keywords:

(p; q)-integers; (p; q)-analogue of Lupas Bernstein functions; Weighted Lupas (p; q)- Bezier curves ; Normalized totally positive basis; 42 ABSTRACTS

W-S205 Results On Artificial Intelligence-Based Fault Diagnosis Of Power Transformer Dr. Nisha Barley1 & Dr.Manoj Jha2 1- Assistant Professor in mathematics, Dr. Radha Bbai,Govt.Naveen girls college Raipur C.G 2- Dr. Manoj Jha, Principal, K.T.C.collegeSalni,Janjgir-Campus C.G.. *Corresponding Author E-mail: [email protected]

Abstract This paper involves an interval type-2 SVM fusion model combining with multiple individual SVM

FLS is a suitable and feasible way to implement ensemble approaches in terms of performance classifiers. Under various suitable assumptions experimental results show that interval type -2 and computational complexity. Thereafter by making consequent use of interval type-2 fuzzy logic with triangular membership shows that the results are best when compared with the other two membership functions. As an application proposed results can be applied to online diagnosis of incipient faults in transformers.

Keywords: 2 fuzzy set, fuzzy logic, type-2 SVM fusion model, interval type-2 fuzzy logic

W-S206 Geometric Characterization of Cubic TB Curve with four Parameters Mridula Dube1 and Nishi Gupta2 1,2- Department of mathematics and computer science, R.D. University, Jabalpur, Madhya Pradesh, India.

Abstract In this paper the Shape characteristic of trigonometric Bezier Curves (called TB Curves) with four parameters has been examined. The required and sufficient conditions are obtained for those curves Each result is totally featured by the relative position of the control polygon’s side vectors and is having one or more than one inflection points, a loop or a cusp, and are locally or globally convex. précis in a shape diagram of TB curves, which can be utilized for curve and surface modelling. In addition we examined the effect of shape parameters on shape diagram and capacity for altering the shape of the curve.

Keywords:

Trigonometric Bezier Curve, Loop, Cusp, Inflection Point, Convexity.

43 ABSTRACTS

W-S207 Housdroff θ-Contraction In Partially Ordered Complete Metric Space And Its Application Gopal Meena1, Satyendra Kumar Jain2, J.K.Maitra3 1- Jabalpur Engineering College, Jabalpur, (M.P.), India. 2- St. Aloysius College Jabalpur, (M.P.)India. 3- Rdvv Jabalpur, (M.P.)India. Email: [email protected]

Abstract

In 2018 Pawar et. al defined PGA contraction and defined existense and uniqueness of fixed point. and Jleli intoduced the idea of θ contraction in 2014 and Setteled fixed point results.In this article towith certify the conceptresults. of PGA contraction and θ contraction we defined θ- PGA contraction which is a more general to previous one and give fixed point results with application. Example has been given Keywords:

Metric space, fixed point, contraction W-S208 Mathematical Formulation Of Energy Efficient Routing In Zone Based Mobile Ad-Hoc Network Ms. Rani Sahu1, Dr. M. A. Rizvi2 1- Department of Computer Applications, Maulana Azad National Institute of Technology, Bhopal, India. 2- Department of Computer Technology and Application NITTTR Bhopal (M.P.) India 2 Abstract A wireless mobile ad hoc network (MANET) is a dynamic network that can be built without the need for any central governance system and pre-existing infrastructure, in which each node can act as a router. During the transmission of information in any network, energy consumption is an important by detecting the energy consumption at the node at each stage of transmission. Thefactor main for theobjective efficiency of this and paperlifetime is ofto theformulate network. mathematical A reduction inmodels energy of consumption energy consumption. is achieved A mathematical model of the energy consumption of a network is to be built on the basis of available nodes and links to formulate mathematical models related to energy. When constructing this mathematical model for the challenge related to mobility and low connectivity due to limited battery power in the network, the failure of the links present in the network and the estimated energy consumption are taken into account. Due to the greater mobility of this type of network, nodes rapidly change their positions, causing nodes to drain the battery very quickly, thus reducing network performance. So we need a mathematical model that works by taking into account life and saving the energy of nodes based on the nodes and links of the network.

Keywords: Wireless Routing Protocol. Mobile Ad Hoc Network; Dynamic Mobility; Energy Efficiency; Zone based technology;

44 ABSTRACTS

W-S301 Geospatial Analysis Of Soil Properties In Croplands Of Climatically Vulnerable District Rajgarh Of Madhya Pradesh *Sangeeta Lenka, NK Lenka, Vassanda Coumar, JK Saha, AK Patra, Dharmendra Singh, Vimal Shukla, Chandan Kori ICAR-Indian Institute of Soil Science, Nabibagh, Bhopal-462038 Email: [email protected]

Abstract Assessing the spatial variability of soil properties is important to manage different cropland soils in climatically vulnerable regions. Little is known about the spatial variability of soil organic carbon (SOC) and other soil properties in climatically vulnerable district Rajgarh of Madhya Pradesh. Therefore, the present study was conducted in twenty climate smart adopted villages of northern Rajgarh in M.P. to understand the spatial variability of soil properties using GIS and a geostatistical model. These soil samples were analyzed for SOC, labile carbon, phosphorus (P), potassium (K), soil pH, electrical conductivity (EC), water holding capacity (WHC), micronutrients [iron (Fe), manganese (Mn), zinc (Zn) and copper(Cu)] and dehydrogenase activity (DHA) following standard protocols. These sample points were geo referenced and surface maps of soil properties were prepared using the semivariogram model through Kriging techniques in Arc GIS 10.1. For each soil parameter semivariograms were calculated and their main parameters (nugget, sill and range) were obtained. Moderate spatial dependence for K, labile C, Cu, Fe, Zn, Mn strong spatial dependence for SOC, EC, water holding capacity, P, DHA and week spatial dependence for pH were recorded. The best soil parameters based on root mean square error. All micronutrients except zinc were found high in fit model (exponential/spherical/Gaussian/) was identified to describe the spatial dependence of this region. The Zinc content was also adequate and high except for two villages Manoharpura and the study region. Hirapura. The soil maps generated could be used as a guide for site-specific nutrient management in

45 ABSTRACTS

W-S302 Preservers of Gershgorin of Jordan Product of nxn- Matrices Manoj Joshi1, K. N. Rajeshwari2, K. Santaram3 1- Department of Mathematics, Maharaja Ranjit Singh College of Professional Sciences, Indore (M.P.), India. 2- School of Mathematics, Devi Ahilya University, Indore (M.P.), India. 3- School of Mathematics, Devi Ahilya University, Indore (M.P.), India. E-mail: [email protected]

Abstract these when the order of matrix is high unless the matrix is of very special type. The sets which includeEigenvalues eigenvalues of matrices are playthe so central called role eigenvalue in Linear inclusion algebra and sets. there Since is theseno efficient sets provide way of computinglocation of eigenvalues their study is interesting and important. There are three types of eigenvalue inclusion sets Gershgorin, Ostrowski, Brauer set. Gershgorin is the special case of Ostrowski set. The maps which satisfy where is an eigenvalue inclusion set and

is a binary operation on are known as preservers of eigenvalue inclusion sets.

The aim of this paper is to discuss various properties of when S is the Gershgorin Set and is the Jordan product of matrices, that is for Further, when an example n=3 has been given to show that, the main technique used in characterizing the map when n=2, fails. Assuming to be linear characterization of has been obtained in the general case.

Keywords: Eigenvalue, Jordan Product, Preservers, Gershgorin Set.

W-S304 Incomplete’ Pál Type Interpolation On Zeros Of Polynomials With Complex Coefficients A. K. Pathak1 and Poornima Tiwari2* 1- OSD, Department of Higher Education, Govt. of Madhya Pradesh, Bhopal (India) 2- Department of Mathematics, SantHirdaram Girls College, Bhopal (India) Email: [email protected] Abstract m+n-1), that has prescribed values at m pairwise distinct nodes and prescribed values for rth derivative at n pairwise distinct nodes. Here wePál typehave interpolationstudiedregularity consists of Pál of findingtype interpolation a polynomial problems, of degree where ( we have omitted a real node from set of interpolation points. These investigations have carried out on the pair of polynomials with

Keywords:complex coefficients Lacunary polynomial interpolation, ‘Incomplete’ Pál type interpolation, Regularity.

46 ABSTRACTS

W-S307 Theory And Analysis Of Bi-Period Undulator Radiation Avani Sharma1, G.Mishra2 Devi Ahilya Vishwa Vidyalaya Indore-452001,MP,India Email:[email protected] Abstract theory of undulator radiation of a relativistic electron beam moving in the bi period undulator is A biperiod undulator has been reported with two undulator periods in an undulator field. The investigated. The analytical expression leading to intensity of radiation of an electron moving in the biperiod undulator is derived and analyzed. The bi period undulator radiation tuning is explained through a phase between the two period fields .

W-S308 Theory And Analysis Of Inverse Electron Cyclotron Resonance Maser Accelerator G.Mishra1, Roma Khullar2, 1- School of Physics, Devi Ahilya Vishwa Vidyalaya (DAVV) 2- Department of Physics Government College, Khategaon, Dewas Email : [email protected]

Abstract In an electron cyclotron resonance maser, the electrons execute cyclotron motion in an axial magnetic presence of the electromagnetic wave, under appropriate resonance and initial condition, the field and emit coherent radiation due to azimuthal bunching. In this paper, it is shown that in the electrons get acceleration. The device is known as Inverse Cyclotron Resonance Maser Accelerator (ICRMA). The ICRMA equations are derived and analyzed. The important analytical expressions of saturation length and saturation energy of inverse cyclotron resonance maser accelerator are derived and discussed. The effect of synchrotron radiation loss is included in the analysis.

Keywords: Laser accelerator, ICRMA, Inverse free electron laser accelerator.