Curriculum Vitae
1. Name - Dr. Deepmala
2. Designation - Assistant Professor Mathematics Discipline PDPM Indian Institute of Technology, Design & Manufacturing
(IIITDM) Jabalpur, Dumna Airport Road, P.O. Khamaria Jabalpur-482005, (M.P.) India.
3. Email ID - [email protected], [email protected]
4. Mobile Number- +91 9674189903, +91 9302313091
5. Educational Qualifications:
S.NO. Class Year Board/University (%) Remarks 1. 10th 2000 M.P. Board 78.2% First Rank in School 2. 12th 2002 C.G. Board 82.4% First Rank in School 3. B.Sc. (PCM) 2005 Pt. Ravishankar Shukla 75.38% First Rank University, Raipur (C.G.) in College 4. M.Sc.(Maths) 2007 Pt. Ravishankar Shukla 83.5% First Rank University, Raipur (C.G.) in University 5. M.Phil.(Maths) 2009 Pt. Ravishankar Shukla 86.67% First Rank University, Raipur (C.G.) in University 7. Ph.D. 2014 Pt. Ravishankar Shukla University, Raipur (C.G.) Awarded on 09 June 2014 6. DCA (Diploma in 2003-05 Aptech Computer 83% First Rank Computer) Education, Bhilai. in Aptech Institute
1 6. Total Research Experience – +8 years
7. Ph.D. Details:
Thesis Title: A Study on Fixed Point Theorems for Nonlinear Contractions and its Applications Supervisor: Prof. H. K. Pathak University: Pt. Ravishankar Shukla University, Raipur (C.G.) Submission of PhD Thesis: 14/08/2013 Date of PhD Viva Voce: 09/06/2014 Year of Award: June 2014
8. M.Phil Details:
Dissertation Title: Brouwer Fixed Point Theorems and its Extensions Supervisor: Prof. H. K. Pathak University: Pt. Ravishankar Shukla University, Raipur (C.G.) Year of Award: June 2009
9. Educational Achievements -
(1) Awarded N-PDF Fellowship approved by the Science and Engineering Research Board of Department of Science and Technology, Government of India under SERB National Post-Doctoral fellowship scheme File Number: PDF/2015/000799, dated 12 April 2016.
(2) Won Best Paper Award for presentation of a paper in National Conference on Emerging Trends in Mathematics and Mathematical Sciences "NCETMMS2015" organized by Calcutta Mathematics Society, India during Dec 17-19, 2015.
(3) Awarded “IMS Prize” for the year 2014 for presenting the Best Research Paper in the area of IMS Group-2 at the 80th Annual Conference of the Indian Mathematical Society held in the Indian School of Mines, Dhanbad during Dec 27-30, 2014.
(4) Travel grant support under International Travel Support Scheme (ITS) of Science and Engineering Research Board,(A Statutory body under Department of Science & Technology (DST),Government of India)to present a research paper in an International Conference on Recent Advances in Pure and Applied Mathematics 2014 between 06/11/2014 to 09/11/2014 at Club Otel Sera 07160 Lara - Antalya - Turkey.
2 (5) Awarded INSPIRE Fellowship SRF to pursue full time doctoral (Ph.D.) program by the Department of Science and Technology, Government of India under INSPIRE Fellowship Program No. DST / INSPIRE Fellowship / 2013 / [182] in 2014.
(6) Awarded INSPIRE Fellowship JRF to pursue full time doctoral (Ph.D.) program by the Department of Science and Technology, Government of India under INSPIRE Fellowship Program No. DST / INSPIRE Fellowship / 2011 / [182] in 2011.
(7) Won Chhattisgarh Young ScientistsAward in the discipline Mathematics, Statistics and Computer Science in XI Chhattisgarh Young Scientists Congress-2013, Chhattisgarh Council of Science and Technology (CCOST), 28 Feb. - 1 March (2013).
(8) Secured First Position in Young Dynamic Researcher Competition in National Conference on “Establishing Kinship between Mathematical Science and Society, 2009” organized by Govt. V.Y.T. PG College, Durg (C.G.).
(9) Pt. Ravishankar Shukla University, Raipur awarded –
Gold Medal for securing highest marks in Subject of Science (M.Sc. Examination 2007).
Gold Medal for securing highest marks in M.Sc. (Mathematics) Examination 2007.
Gold Medal for securing highest marks in M.A. / M.Sc. (Mathematics) Examination 2007.
(10) Gold Medal for securing highest marks in all PG Examination 2007 of Bhilai Mahila Mahavidyalaya, Bhilai (C.G.).
(11) Held post of Class Representative of Bhilai Mahila Mahavidyalaya, Bhilai (C.G.) in the Session 2002-03, 2003-04, 2004-05, 2005-06, respectively.
(12) Held post of President of Students Union of Bhilai Mahila Mahavidyalaya, Bhilai (C.G.) during session 2006-07.
(13) Won Best Student Award of S. N. Higher Secondary School, ACC Jamul in the year 2001-02.
10. Research papers published /accepted for publication.
(1) H.K. Pathak and Deepmala Rai, Some common fixed point theorems for occasionally weakly compatible maps with applications in dynamic programming, Rev. Bull. Cal. Math. Soc. 19 (2) (2011), 209-218. http://www.ams.org/mathscinet/search/publdoc.html?pg1=INDI&s1=967343&vfpref=html&r=10& mx-pid=2933551
3 (2) H.K. Pathak and Deepmala, Existence and uniqueness of solutions of functional equations arising in dynamic programming, Applied Mathematics and Computation, 218 (13) (2012), 7221- 7230. (Impact factor: 1.551) http://www.sciencedirect.com/science/article/pii/S0096300312000057
(3) H.K. Pathak and Deepmala, Some existence theorems for solvability of certain functional equations arising in dynamic programming, Bull. Cal. Math. Soc. 104 (3) (2012), 237-244. http://www.ams.org/mathscinet/search/publdoc.html?pg1=INDI&s1=967343&vfpref=html&r=7& mx-pid=3089119
(4) H.K. Pathak and Deepmala, Remarks on some fixed point theorems of Dhage, Applied Mathematics Letters, 25 (11) (2012), 1969-1975. (Impact factor: 1.501) http://www.sciencedirect.com/science/article/pii/S0893965912001644
(5) H.K. Pathak and Deepmala, Common fixed point theorems for PD-operator pairs under Relaxed conditions with applications, Journal of Computational and Applied Mathematics, 239 (2013), 103- 113. (Impact factor: 1.266) http://www.sciencedirect.com/science/article/pii/S037704271200372X
(6) Deepmala and H.K. Pathak, Study on existence of solutions for some nonlinear functional- integral equations with applications, Mathematical Communications, 18 (2013), 97-107. (Impact factor: 0.3) http://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=149470
(7) Deepmala and H.K. Pathak, A study on some problems on existence of solutions for nonlinear functional-integral equations, Acta Mathematica Scientia, 33 B(5) (2013), 1305–1313. (Impact factor: 0.742) http://www.sciencedirect.com/science/article/pii/S0252960213600831
(8) Deepmala and H.K. Pathak, Some common fixed point theorems for D-operator pair with applications to nonlinear integral equations, Nonlinear Funct. Anal. Appl., 18 (2013), no. 2, 205- 218. http://nfaa.kyungnam.ac.kr/journal-nfaa/index.php/NFAA/article/view/172
(9) Deepmala and H.K. Pathak, Common fixed points for hybrid strict contractions in symmetric spaces under relaxed conditions, Antarct. J. Math.,10 (6) (2013), 579-588. http://www.domainsmoon.com/ajm/october2013/abs136.html
(10) Deepmala and H.K. Pathak, Remarks on occasionally weakly compatible mappings versus occasionally weakly compatible mappings, Demonstratio Mathematica 47 (3) (2014) , 695-703. http://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0055/dema-2014- 0055.xml?format=INT
(11) Deepmala and H.K. Pathak, On solutions of some functional-integral equations in Banach algebra, Research J. Science and Tech. 5 (3), (2013), 358-362. http://www.indianjournals.com/ijor.aspx?target=ijor:rjst&volume=5&issue=3&article=016
4 (12) V.N. Mishra, K. Khatri, L.N. Mishra and Deepmala, Inverse result in simultaneous approximation by Baskakov-Durrmeyer-Stancu operators, Journal of Inequalities and Applications 2013, 2013:586 doi:10.1186/1029-242X-2013-586. (Impact factor: 0.82) http://www.journalofinequalitiesandapplications.com/content/2013/1/586/
(13) Deepmala, Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming, International Journal of Mathematics and Mathematical Sciences, Volume 2014 (2014), Article ID 706585, 9 pages. http://www.hindawi.com/journals/ijmms/2014/706585/
(14) L.N. Mishra, V.N. Mishra, K. Khatri and Deepmala, On the trigonometric approximation of r 1 signals belonging to generalized weighted Lipschitz W(L , ξ(t))(r ⩾ 1)-class by matrix (C ⋅ Np) operator of conjugate series of its Fourier series, Applied Mathematics and Computation, 237, (2014), 252-263. (Impact factor: 1.551) http://www.sciencedirect.com/science/article/pii/S0096300314004470
(15) V.N. Mishra, K. Khatri, L.N. Mishra, Deepmala; Trigonometric approximation of periodic Signals belonging to generalized weighted Lipschitz $W' (L_r, \xi(t)), (r \geq 1)-$ class by N\"{o}rlund-Euler $(N, p_n) (E, q)$ operator of conjugate series of its Fourier series, Journal of Classical Analysis, Volume 5, Number 2 (2014), 91-105. doi:10.7153/jca-05-08. URL: http://jca.ele-math.com/05-08/Trigonometric-approximation-of-periodic-Signals-belonging- to-generalized-weighted-Lipschitz-W-%28Lr,-xi%28t%29%29,%28r-1%29-class-by-Norlund- Euler-%28N,pn%29-%28E,q%29-operator-of-conjugate-series-of-its-Fourier-series
(16) Deepmala and A. K. Das, On Solvability for Certain Functional EquationsArising in Dynamic Programming, Mathematics and Computing, Springer Proceedings in Mathematics & Statistics, Volume 139 (2015), 79-94. http://link.springer.com/chapter/10.1007/978-81-322-2452-5_6
(17) Deepmala, L.N. Mishra, V.N. Mishra; Trigonometric Approximation of Signals (Functions) belonging to the $W (L_r, \xi(t)), (r \geq 1)-$ class by (E, q) (q > 0)-means of the conjugate series of its Fourier series, Global Journal of Mathematical Sciences, Vol. 2, No. 2, pp. 61-69, (2014). URL: http://www.ifnaworld.org/ojs/index.php/GJMS/article/view/121
(18) Deepmala and R.P. Agarwal, Existence and uniqueness of solutions for certain functional equations and system of functional equations arising in dynamic programming, AnaleleStiintifice ale Universitatii "Ovidius" Constanta, Math Series, Vol. 24(1), 2016, 3-28 (Impact factor: 0.333) http://www.anstuocmath.ro/.
(19) Deepmala, L.N. Mishra, Differential operators over modules and rings as a path to the generalized differential geometry, FACTA UNIVERSITATIS (NIŠ) Ser. Math. Inform. Vol. 30, No. 5 (2015), pp. 753-764. URL: http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/1194
(20) A.K. Das, Deepmala and R. Jana, On Some Generalized Convex Functions under Differentiability, AIP Conference Proceedings 1739, 020039 (2016); doi: 10.1063/1.4952519. Conference date: 26–28 January 2016. Location: Kuala Lumpur, Malaysia. URL: http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4952519
5 (21) A.R. Gairola, Deepmala, and L.N. Mishra, Rate of Approximation by Finite Iterates of q- Durrmeyer Operators, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 86(2) (2016), 229–234. doi: 10.1007/s40010-016-0267-z (Impact factor: 0.390). http://www.springer.com/physics/journal/40010
(22) Deepmala, L.N. Mishra and N. Subramanian, Characterization of Some Lacunary of Order α with p−Metric defined by mn Sequence of Moduli Musielak, Appl. Math. Inf. Sci. Lett. 4, No. 3, (2016).
(23) Deepmala, N. Subramanian, L.N. Mishra, The Zweier Ideal convergent sequence spaces over $p-$ metric spaces and de la Vall$\acute{e}$e-poussin mean of order $\alpha$ defined by Musielak-Orlicz functions, accepted on Dec. 18, 2015 in Mathematica Moravica, in press.
(24) Deepmala, N. Subramanian, V.N. Mishra, Double Almost $\left(\lambda_m \mu_{n}\right)$ in $\chi^{2}-$Riesz space, Southeast Asian Bulletin of Mathematics, (2016), in press.
(25) A. Wafi, N. Rao, Deepmala, Approximation properties by generalized-Baskakov-Kantorovich -Stancu type operators, Appl. Math. Inf. Sci. Lett., Vol. 4, No. 3, (2016).
(26) Deepmala, N. Subramanian, L.N. Mishra; The Topological groups of Triple Almost Lacunary $\chi^{3}$ sequence spaces defined by a Orlicz function, Electronic Journal of Mathematical Analysis and Applications, Vol. 4(2) July 2016, pp. 272- 280.
(27) Deepmala, N. Subramanian, L.N. Mishra, The Ces$\grave{\textbf{A}}$ro $\chi^{2}$ of Tensor products in Orlicz sequence spaces, International Journal of Advances in Applied Mathematics and Mechanics (IJAAMM) (2016), in press.
(28) N. Subramanian, Deepmala, L.N. Mishra, Generalized $I$ of strongly Lacunary of $\chi^{2}$ over $p-$ metric spaces defined by Musielak Orlicz function, Applications and Applied Mathematics (2016), in press.
(29) Deepmala, L.N. Mishra, N. Subramanian. The double $\chi^{2}$ with two inner product defined by Musielak-Orlicz functions, EJMAA (2016), in press.
(30) K.K. Singh, A.R. Gairola, Deepmala, Approximation theorems for $q-$ analouge of a linear positive operator by A. Lupas, Int. J. Anal. Appl. Vol. 12, No. 1, (2016), pp. 30-37. URL: http://etamaths.com/index.php/ijaa/article/view/750
(31) B. Deshpande, A. Handa and Deepmala, Using implicit relation to prove common coupled fixed point theorems for two hybrid pairs of mappings, TWMS J. App. Eng. Math. (2016), in press
(32) Deepmala, N. Subramanian, L.N. Mishra, The Double Almost {\lambda_{m}\mu_{n}} convergence in \Gamma^{2}-Riesz space defined by a Musielak-Orlicz function, Asia Pacific Journal of Mathematics Vol. 3, No. 1, (2016), 38-47. URL: apjm.apacific.org/PDFs/3-1-38-47.pdf
6 (33) Deepmala, N. Subramanian, V. N. Mishra, The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function, New Trends in Mathematical Sciences (2016), in press.
(34) Deepmala, L.N. Mishra, N. Subramanian, The double $\chi^{2}$ with two inner product defined by Musielak-Orlicz functions, Electronic Journal of Mathematical Analysis and Applications, Vol. 5(1) Jan. 2017, pp. 106-111.
(35) Deepmala, N. Subramanian, L.N. Mishra, The New Generalized Difference of $\chi^{2}$ over $p-$ metric spaces defined by Musielak Orlicz function, J. Progressive Research in Math., (2016), in press.
(36) Deepmala, N. Subramanian, L.N. Mishra, Generalized $I$ of strongly Lacunary of $\chi^{2}$ over $p-$ metric spaces defined by Musielak Orlicz function, Applications and Applied Mathematics, (2016), in press.
(37) Deepmala, N. Subramanian, L.N. Mishra, Randomness of Lacunary statistical acceleration convergence of $\chi^{2}$ over $p-$ metric spaces defined by Orlicz function, Journal of Mathematical Sciences 3 (2016) 57-72.
(38) Deepmala, Piscoran Laurian-Ioan, Approximation of signals (functions) belonging to certain Lipschitz classes by almost Riesz means of its Fourier series, Journal of Inequalities and Applications, 2016, 2016:163. DOI: 10.1186/s13660-016-1101-5 URL: http://www.journalofinequalitiesandapplications.com/content/2016/1/163
(39) Deepmala, N. Subramanian, L.N. Mishra, The Growth Rate of $\Gamma ^{3}$ defined by Orlicz function, Journal of Approximation Theory and Applied Mathematics, Vol. 6, 2016.
(40) Deepmala, N. Subramanian, L.N. Mishra, Riesz Triple Almost Lacunary Ces$\acute{A}$ro $C_{111}$ statistical convergence of $\chi^{3}$ defined by a Orlicz function, Bangmod International Journal of Mathematical & Computational Science, (2016), in press.
(41) Deepmala, N. Subramanian, L.N. Mishra, Riesz Triple Almost Lacunary $\chi^{3}$ sequence spaces defined by a Orlicz function, General Mathematics, Vol. 23, Nos. 1-2, (2015), pp. 91-104. URL: http://depmath.ulbsibiu.ro/genmath/gm/vol23nr1_2/Vol_23_No_1_2_2015.pdf
(42) Deepmala, N. Subramanian, L.N. Mishra, The Triple $\chi$ of Ideal fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function, Southeast Asian Bulletin of Mathematics, Vol. 40 (6), (2016), pp. 823-836. URL:www.seams-bullth.ynu.edu.cn/downloadfile.jsp?filemenu=_201606&filename=04_40(6).pdf
(43) Deepmala, N. Subramanian, Lakshmi N. Mishra, The New Generalized Difference sequence space $\chi^{2}$ over $p-$ metric spaces defined by Musielak Orlicz function associated with a sequence of multipliers, Journal of Applied & Computational Mathematics, (2016), in press.
(44) L.N. Mishra, Deepmala, N. Subramanian, The Generalized Triple difference Lacunary
7 statistical on $\Gamma^{3}$ over $p-$ metric spaces defined by Musielak Orlicz function, J. Phys. Math., Vol. 7, Issue 3 (2016), doi:10.4172/2090-0902.1000183
(45) Deepmala, N. Subramanian, Lakshmi Narayan Mishra, The Ces$\acute{A}$ro Lacunary Ideal $\chi^{2}-$ of $\phi-$statistical vector valued defined by a bounded linear operator of interval numbers, Songklanakarin Journal of Science and Technology, ISSN No. 0125-3395, Vol. 39, No. 4, (2017), pp. 549-563. URL: http://rdo.psu.ac.th/sjstweb/journal/39-4/39-4-15.pdf
(46) Kişi, S. Büyükkütük, Deepmala, G. Öztürk, AW(k)-type Curves According to Parallel Transport Frame in Euclidean Space $\mathbb{E}^{4}$, FACTA UNIVERSITATIS (NIŠ) Ser. Math. Inform. Vol. 31, No. 4 (2016).
(47) A. Wafi, N. Rao, Deepmala Rai, Approximation properties by generalized-Baskakov- Kantorovich-Stancu type operators, Appl. Math. Inf. Sci. Lett., Vol. 4, No. 3, (2016), pp. 111-118. URL: http://www.naturalspublishing.com/Article.asp?ArtcID=11955
(48) Deepmala Rai, L.N. Mishra, N. Subramanian, Characterization of some Lacunary $\chi^{2}_{A_{uv}}-$ convergence of order $\alpha$ with $p-$ metric defined by $mn$ sequence of moduli Musielak, Appl. Math. Inf. Sci. Lett. 4, No. 3, (2016), 119-126. URL: http://www.naturalspublishing.com/Article.asp?ArtcID=11956
(49) Vandana, Deepmala, Krzysztof Drachal and Vishnu Narayan Mishra, Some algebro- geometric aspects of spacetime c-boundary, Mathematica Aeterna, accepted on July 28, 2016, in press.
(50) Deepmala, N. Subramanian, L.N. Mishra, Riesz Triple Almost Lacunary Ces$\acute{A}$ro $C_{111}$ statistical convergence of $\chi^{3}$ defined by a Orlicz function, Bangmod International Journal of Mathematical & Computational Science, Vol. 2, No. 1, (2016), pp. 33-43. URL: http://bangmod-jmcs.kmutt.ac.th/wp-content/uploads/2016/08/4_BJMCS2016-Lakshmi- Narayan-Mishra.pdf
(51) Vandana, Deepmala, N. Subramanian, L.N. Mishra, The Triple approximation of $P-$ metric space of $\chi^{3}-$ defined by Musielak Orlicz function, Nonlinear Sci. Lett. A, Vol.8, No.2, pp.207-220, June 2017.
(50) V.N. Mishra, Deepmala, N. Subramanian, L.N. Mishra, The Generalized semi normed Difference of $\chi^{3}$ Sequence Spaces defined by Orlicz function, J. Appl. Computat. Math. (2016), 5:316, doi:10.4172/2168-9679.1000316. URL: http://www.omicsgroup.org/journals/the-generalized-semi-normed-difference-of-3-sequence- spaces-definedby-orlicz-function-2168-9679-1000316.php?aid=77863
(51) Deepmala, N. Subramanian, L.N. Mishra, The New Generalized Difference of $\chi^{2}$ over $p-$ metric spaces defined by Musielak Orlicz function, J. Progressive Research in Math., Vol. 9, Issue 1, (2016), pp. 1301-1311. URL: http://scitecresearch.com/journals/index.php/jprm/article/view/787
8 (52) Vandana, Deepmala, K. Drachal and V.N. Mishra, Some algebro-geometric aspects of spacetime c-boundary, Mathematica Aeterna, Vol. 6, No. 4, (2016), pp. 561-572. URL: e- hilaris.com/MA/2016/MA6_4_11.pdf
(53) A.K. Das, Deepmala and R. Jana, Algorithm for Invex Programming Problems with equality and inequality constraint, Springer Proceedings, accepted (2016).
(54) R.B. Gandhi, Deepmala, V.N. Mishra, Local and global results for modified Sz\'{a}sz - Mirakjan operators, Math. Method. Appl. Sci., Vol. 40, Issue 7, (2017), pp. 2491-2504. DOI: 10.1002/mma.4171. Impact factor: 1.002. ISSN: 1099-1476 URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.4171/full
(55) A. K. Das, R. Jana and Deepmala, On the Convergence of an Iterative Method for Solving Linear Complementarity Problem with WGPSBD Matrix, Thai Journal of Mathematics, accepted (2017)
(56) A. Wafi, N. Rao, Deepmala, On Kantorovich form of generalized Sz\'{a}sz-type operators using Charlier polynomials, Korean J. Math., Vol. 25, No. 1, (2017), pp. 99-116. URL: http://kkms.org/index.php/kjm/article/view/501
(57) Vandana, Deepmala, N. Subramanian, V.N. Mishra, Riesz Triple Probabilisitic of Almost Lacunary Ces $\acute {A} $ ro $ C_ {111} $ statistical convergence of $\chi^{3} $ defined by a Musielak Orlicz function, Boletim da Sociedade Paranaense de Matemática, Vol. 36, No. 4, (2018), pp. 23-32. URL: http://eduem.uem.br/ojs/index.php/BSocParanMat/article/view/32870
(58) A.R. Gairola, Deepmala, Lakshmi Narayan Mishra, On the $q-$derivatives of a certain linear positive operators, Iranian Journal of Science & Technology, Transactions A: Science, (2017), DOI 10.1007/s40995-017-0227-8. Impact Factor: 0.128. URL: http://link.springer.com/article/10.1007/s40995-017-0227-8 Author‟s personal e-file: http://www.springer.com/home?SGWID=0-0-1003-0- 0&aqId=3254815&download=1&checkval=d4e96be0dcfdcdb3ea7e45c14052e780
(59) Deepmala, N. Subramanian, Lakshmi Narayan Mishra, Triple Ideal convergent of $\chi$ over $np$-metric spaces defined by Musielak-Orlicz functions, Math. Sci. Lett., ISSN No. 2090- 9616, Vol. 6, No. 2, (2017), pp. 169-175. URL: http://www.naturalspublishing.com/Article.asp?ArtcID=12986 http://www.naturalspublishing.com/files/published/4i2xq2xki6j949.pdf
(60) A.K. Das, Deepmala and R. K. Jana, On Existence of Coincidence Solutions in Multistage Decision, communicated.
(61) A.K. Das, R. K. Jana and Deepmala, On Generalized Positive Subdefinite Matrices and Interior Point Algorithm, communicated.
(62) Deepmala, A.K Das and Vandana, On Solving Optimization Problems using Mathematica, Communicated.
9 (63) A.K. Das, Deepmala and R. Jana, Some Aspects on Solving Transportation Problem, communicated.
(64) Deepmala, A.K Das and Vandana, Optimization in Aircraft Recovery Problem, Communicated.
12. Area of Research Interest Optimization, Mathematical Programming, Nonlinear Analysis, Fixed Point Theory, Operator theory, General Topology, Nonlinear Programming, Integral equations, Dynamic Programming,
Approximation theory, Nonlinear Complementarity Problem, Aircraft Disruption Management, Scheduling problem. 13. Work Experience
S.No. From To Nature of Designation University / Organization (mm/yyyy) (mm/yyyy) Experience 1. Presently Assistant 11/2016 PDPM IIITDM, Jabalpur Teaching Working Professor
2. Post Research work Indian statistical Institute, 4/2016 10/2016 Doctoral and Teaching Fellow Kolkata, India M.Tech (QROR-II) [SERB, DST] 3. Research work Visiting Indian statistical Institute, 03/2014 3/2016 and Taught Scientist Kolkata, India M.Tech (QROR-II) 4. S.o.S in Mathematics, Pt. Teaching Ravishankar Shukla Taught PG 07/2010 12/2010 Assistance University, Raipur (C.G.) , Classes India 5. S.o.S in Mathematics, Pt. Teaching Ravishankar Shukla Taught PG 01/2010 05/2010 Assistance University, Raipur (C.G.) , Classes India 6. Lecturer BhilaiMahilaMahavidyalaya, Taught UG & PG 07/2009 12/2009 (Contract Bhilai Nagar, Durg (C.G.) , Classes Basis) India 7. Lecturer BhilaiMahilaMahavidyalaya, Taught UG & PG 08/2007 08/2008 (Contract Bhilai Nagar, Durg (C.G.) , Classes Basis) India
10
Courses Taught
Post Graduate Level: Optimization, Nonlinear Programming, Operations Research, Complex Analysis, Abstract Algebra, Real Analysis, Functional Analysis, Operations Research, Topology, Numerical Analysis.
Graduate Level: Algebra, Discrete Mathematics, Analysis, Graph Theory, Engineering Mathematics.
14. Author ID:
a. MathSciNet MR Author ID: 967343 http://www.ams.org/mathscinet/search/author.html?mrauthid=967343
b. Zentralblatt Math Author ID: deepmala
c. Scopus Author ID: 54906271400
d. ORCID ID: https://orcid.org/0000-0002-2600-6836
e. Google Scholar Citation: https://scholar.google.co.in/citations?hl=en&user=_p8kmMwAAAAJ
15. Editorial Board Member/ Reviewer of Reputed Journals:
1. Editorial Board member of Maejo International Journal of Science and Technology http://www.mijst.mju.ac.th/board.htm
2. Reviewer of Journal of Computational and Applied Mathematics (Elsevier). http://www.journals.elsevier.com/journal-of-computational-and-applied-mathematics/
3. Reviewer of Applied Mathematics and Computation (Elsevier). http://www.journals.elsevier.com/applied-mathematics-and-computation/
4. Reviewer of Demonstratio Mathematica. http://demmath.mini.pw.edu.pl/index.php
5. Reviewer of Bulletinof Mathematical Analysis and Applications http://www.emis.de/journals/BMAA/
6. Reviewer of African Journal of Mathematics and Mathematical Sciences. http://internationalscholarsjournals.org/journal/ajmms
11 7. Editorial Board Member of International Journal of Engineering Technology & Science (IJETS). http://www.aropub.org/journals/international-journal-of-engineering-technology- sciences-ijets/
8. Editorial board member/ Reviewer of International Journal of Innovative Technology & Adaptive Management (IJITAM).http://www.ijitam.org/
9. Reviewer of Global Journal of Mathematical Analysis, Science Publishing Corporation.http://www.sciencepubco.com/index.php/GJMA
10. Editorial Board Member of Mathematical Journal of Interdisciplinary Sciences.http://mjis.chitkara.edu.in/Editorial_Team.php
11. Reviewer of the journal New Trends in Mathematical Sciences.http://www.ntmsci.com/ntmsci
12. Reviewer of FactaUniversitatis, Series: Mathematics and Informatics. http://facta.junis.ni.ac.rs/mai/mai.html
13. Reviewer of British Journal of Mathematics & Computer Science. http://www.sciencedomain.org/journal-home.php?id=6
14. Editorial Board member of Operations Research and Applications: An International Journal (ORAJ) http://airccse.com/oraj/editorial.html
15. Editorial Advisory Board Member of International Journal of Scientific Research and Engineering Studies http://www.ijsres.com/experts/
16. Editorial Board member of International Journal for Research in Applied Science and Engineering Technology (IJRASET) http://www.ijraset.com/editorial-board.php?A2
17. Reviewer Board member of International Journal of Engineering Research and Sports Science (IJERSS) http://ijerss.com/editorial_board
18. Editorial board member of International Journal of Advanced Information in Engineering and Technology (IJAIET) http://ijaiet.com/index.php/editorial-board
19. Reviewer of Journal of Mathematical Analysis and Applications, Elsevier.http://www.journals.elsevier.com/journal-of-mathematical-analysis-and-applications/
20. Reviewer of Journal of the Egyptian Mathematical Society, Elsevier.http://www.journals.elsevier.com/journal-of-the-egyptian-mathematical-society/
21. Associate Editor and Reviewer of International Journal of Engineering Research and Sports Science IJERSS, http://www.ijerss.com/editorial_board
12 22. Editorial board member of International Journal of Modern Trends in Engineering and Research IJMTERhttp://www.ijmter.com/editorial-board/
23. Editorial board member of International Journal of Research Granthaalayah. http://www.granthaalayah.com/
24. Executive Board Member of Journal Club for Applied Sciences (JCAS), http://www.journalsclub.com/
25. Editorial board member of Open Journal of Applied Sciences (OJAppS)www.scirp.org/journal/ojapps
26. Reviewer of Review of Knowledge Economy journal www.pakinsight.com
27. Editorial Board member of International Journal of Technology and Science, http://i3cpublications.org
28. Reviewer of Journal of Emerging Technologies and Innovative Research (JETIR) www.jetir.org 29. Editorial board member of International Journal of Advanced Research in Science & Engineering (IJARSE). http://www.ijarse.com/editorboard.html
30. Review board member of journal IJERT (International Journal of Engineering Research And Technology) http://ems.ijert.org/reviewer
31. Editorial Board member of Scholedge International Journal of Management and Development www.scholedge.org
32. Editorial Board member of International Journal of Advanced Trends in Computer Applications (IJATCA) http://www.ijatca.com/
33. Editorial Board member / Reviewer of International Journal of Research, Science, Technology & Management (IJRSTM). http://ijrstm.net/editorial-board
34. Editorial Board member of International Journal Of Innovative Research inTechnology (IJIRT) http://www.ijirt.org/editorialboard.php
35. Editorial Board member of International Journal of Digital Communication and Networks (IJDCN) http://ijdcn.co.in/editorial-board/
36. Editorial Board member of International Journal of Engineering Technology And Management Research (IJETMR). https://www.ijetmr.com
37. Editorial Board member and Reviewer of Journal of Progressive Research inMathematics (JPRM) http://scitecresearch.com/journals/index.php/jprm
13 38. Editorial Board member of Journal of Mathematical Sciences, http://www.bettyjonespub.com/list.html
39. Editorial Board member of International Journal of Recent Research Aspects http://www.ijrra.com/Board.php
40. Editorial Board member of World Wide Journal of MultidisciplinaryResearch and Development http://wwjmrd.com/editorial.html
41. Editorial Board member of Global Journal of Advanced Research on Classical and Modern Geometries. http://gjarcmg.geometry-math-journal.ro/editors/
42. Editorial Board member of International Journal of integrated Computer Applications & Research (IJICAR) of http://ijicar.com/editorialboard/
43. Editorial Board member of the Asian Engineering Review journal. http://www.asianonlinejournals.com/index.php/AER/about/editorialTeam
44. Reviewer of the journal Fixed Point Theory and Applications (Springer) http://www.fixedpointtheoryandapplications.com/
45. Editorial Board member of International Journal Of Advanced Research In Engineering Technology And Sciences http://ijarets.org/editorial-board.php
46. Editorial Board member of International Journal of Education and Science Research Review (IJESRR) http://ijesrr.org/editorial.php
47. Editorial Board member of International Journal of Engineering Research & Management Technology, http://ijermt.org/editorial.php
48. Reviewer of Bulletin of the Iranian Mathematical Society (Iranian Mathematical Society) http://bims.iranjournals.ir/
49. Reviewer ofJournal of Function Spaces (Hindawi Publishing Corporation) http://www.hindawi.com/journals/jfs/
50. Editorial Board member of International Journal of Applied Research http://www.allresearchjournal.com/board.php
51. Editorial Board member of International Journal of Mathematics And its Applications http://ijmaa.in/eb.html
52. Editorial Board member of Scholedge International Journal of Multidisciplinary & Allied Studies (SIJMAS) http://thescholedge.org/index.php/sijmas/about/editorialTeam
14 53. Reviewer of Journal of Mathematics and System Science http://www.davidpublisher.org/index.php/Home/Journal/detail?journalid=34&jx=JMSS& cont=reviewers
54. Reviewer Board Member/Editorial Board Member in International Journal of Advanced Research in Computer Science. www.ijarcs.info
55. Associate Editor of “South East Asian Journal of Mathematics and Mathematical Sciences (SEAJMMS)” published by Ramanujan Society of Mathematics and Mathematical Sciences. URL: http://www.rsmams.org/journals/seajmams/associate-editors
56. Reviewer of the journal Mathematical Methods in the Applied Sciences. http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476
57. Reviewer of Bulletin of Mathematical Sciences and Applications. http://www.springer.com/mathematics/journal/13373
58. Editorial Board Memeber of The International Journal of Innovative Research in Science, Engineering and Technology http://www.ijirset.com/
59. Reviewer of Caspian Journal of Mathematical Sciences http://cjms.journals.umz.ac.ir/
60. Reviewer of Cogent Mathematics - Taylor & Francis. http://www.tandfonline.com/loi/oama20#.Vx3Ozfl97IU
61. Reviewer of Asian Journal of Mathematics and Computer Research. http://www.ikpress.org/journal/44
62. Reviewer of Applied Mathematics & Information Sciences Letters (AMISL). http://www.naturalspublishing.com/show.asp?JorID=15&pgid=0
63. Editorial Board Memeber of International Journal of Scientific Research in Science and Technology (IJSRST) http://ijsrst.com/editorial.php
64. Editorial Board Memeber of The Journal of Middle East and North Africa Sciences http://www.jomenas.org/editorial-board.html
16. Papers Presented in National / International Conference and Workshop:
1. Deepmala, Importance of Brouwer fixed point theorems and its extensions, Young Dynamic Researcher Competition in National Conference on Establishing Kinship between Mathematical Science and Society, Govt. V.Y.T. PG College, Durg (C.G.), 30-31 Dec. (2009).
2. H.K. Pathak and Deepmala Rai, Some common fixed point theorems for occasionally weakly compatible maps with applications in dynamic programming, International Conference on
15 Recent Development in Mathematical Sciences and Their Applications (ICRDMSA-2010), Calcutta Mathematical Society, Calcutta, 9-11 Dec. (2010).
3. H.K. Pathak and Deepmala, Some existence theorems for solvability of certain functional equations arising in dynamic programming, International Conference on Frontiers in Applied Mathematics and its Computational Aspects (ICFAM-CA: 2011), University of Calcutta, Calcutta, 15-17 March (2011).
4. H.K. Pathak and Deepmala, Some problems on existence of solutions of nonlinear integral equations in Banach algebra, International conference on Analysis and its Applications, (ICAA-2011), Aligarh Muslim University, Aligarh, 19-21 Nov. (2011).
5. H.K. Pathak and Deepmala, Some common fixed point theorems with applications to dynamic programming, National Seminar on Emerging Areas in Pure and Applied Mathematics, Kalyan PG College, Bhilai Nagar (C. G.), 25-26 Nov. (2011).
6. Deepmala, On solvability of functional equations arising in dynamic programming, National Workshop on Applications of Mathematics in Different field of Sciences, Govt. Nagarjuna P.G. College of Science, Raipur (C.G), 12-14 Oct. (2012). 7. Deepmala, On existence of solutions for functional equations, National Seminar on Rich Heritage of Mathematics in India (NSRHMI-2012), Govt. V.Y.T. P.G. College, Durg (C.G.), 26-27 Oct. (2012).
8. H.K. Pathak and Deepmala, On solvability of nonlinear functional-integral equations in Banach algebra, National Workshop on Recent Developments in Mathematics and its Application in Various Fields, ST. Thomas College, Bhilai, 21-22 Jan. (2013).
9. Deepmala and H.K. Pathak, On solutions of some functional-integral equations in Banach algebra, National Conference on Education and Research Scenario of Mathematical and Computer Sciences, Seth Phoolchand Agrawal Smriti Mahavidyalaya Nawapara Nagar, Raipur (C.G.), 29-30 Jan. (2013).
10. Deepmala, On existence of solutions for the functional equations arising in dynamic programming,XI Chhattisgarh Young Scientists Congress-2013, Chhattisgarh Council of Science and Technology (CCOST), 28 Feb. - 1 March (2013).
11. Deepmala, On Solvability of Functional Equations Arising in Dynamic Programming, National Conference on Role of Mathematics in Advancement of Science and Technology,Department of Mathematics, B.S.N.V. Post Graduate College, Lucknow, 18-20 Oct (2013).
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12. Deepmala, On some functional-integral equation in Banach algebra, International Conference on Recent Advances in Mathematical Sciences and its Applications, Department of Mathematics, University Institute of Technology, RGPV Bhopal (M.P.), Dec 24-26, (2013).
13. Deepmala, Existence and Uniqueness of Solutions for Some Functional EquationsArising in Dynamic Programming, National Seminar on Advances in Nonlinear Analysis and Optimization, School of Studies in Mathematics, Pt. RSU, Raipur (C.G.), Feb 15-17, (2014).
14. Delivered an Invited talk on “Research Methods in Mathematics” as a Chief Guest of Mathematical Closing Ceremony of Department of Mathematics, Kalyan PG College, Durg on 09 March (2014).
15. Delivered 5 lecture series as Invited Speaker in 5 days Short Term Training Programme (STTP) on " Applications of Fixed Point Theory & Nonlinear Analysis for Engineering and Sciences (AFPTNAES 2014)" under TEQIP Phase-II during the period "June 30 - July 04, 2014" organized by Department of Mathematics, NIT Surat, Gujrat.
16. Chaired two sessions (Room 6 07.11.2014 10:30-12:10 and Room 5 07.11.2014 14:30-16:10) during the conference "International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2014)" at Antalya, Turkey during 06-09 Nov 2014.
17. Deepmala and A. K. Das, A Study on Solvability of Functional Equations arising in Dynamic Programming, International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2014) at Antalya, Turkey during 06-09 Nov 2014.
18. Deepmala and A. K. Das, On coincidence solutions for some system of functional equations arising in dynamic programming, XVIII Annual International Conference of Society of Operations Management (SOM), during 12-14 Dec 2014, organized byDepartment of Management Studies (DoMS), Indian Institute of Technology RoorkeeRoorkee 247667, Uttarakhand.
19. Deepmala, A study on dynamic programming of multistage decision process, 80th Annual Conference of the Indian Mathematical Society held in the Indian School of Mines, Dhanbad during Dec 27-30, 2014.
20. Deepmala and A.K. Das, On Solvability for Certain Functional Equations Arising in Dynamic Programming, 2nd International Conference on Mathematics and Computing (ICMC 2015), during 05-10 Jan 2015, at Haldia Institute of Technology, Haldia-721657, India.
17 21. Deepmala, Solving optimization problems using Mathematica, Workshop on “Applied Optimization Models and Computation” organized by Indian Statistical Institute, Delhi,28- 30 January, (2015).
22. Delivered a talk on “Dynamic Programming in Multistage Decision Process” in workshop on Indian Women and Mathematics, University of Delhi during 2-4 April 2015.
23. Delivered 12 lecture series as Invited Speaker in 5 days Short Term Training Programme(STTP) on "Fractional calculus, integral transforms, special functions and their computations in Engineering and Sciences (FCITSFTCES-2015)" under TEQIP Phase-II during the period "Sep30 - Oct 04, 2015" organized by Department of Mathematics, NIT Surat, Gujrat.
24. Deepmala, On some classes of functional equations in dynamic programming National conference on Emerging Trends in Mathematics and Mathematical Sciences "NCETMMS2015" organized by Calcutta Mathematics Society, India, 17-19 December (2015).
25. Delivered a talk entitled "On Solving Optimization Problems using Mathematica" as Keynote Speaker in International Conference on Recent Trends in Engineering and Material Sciences (ICEMS-2016) during 17-19 March 2016 at Jaipur National University, Jaipur.
26. Delivered a talk entitled "Optimization in Aircraft Recovery Problem" as Keynote Speaker in International Conference on Recent Trends in Engineering and Material Sciences (ICEMS- 2016) during 17-19 March 2016 at Jaipur National University, Jaipur.
27. Chaired two sessions in the International Conference on Recent Trends in Engineering and Material Sciences (ICEMS-2016) during 17-19 March 2016 at Jaipur National University, Jaipur.
28. Delivered 12 Lecture Series in 5 days Short Term Training Programme (STTP) on “Nonlinear Analysis, Computations using MATLAB, Mathematica, Maple, LINGO and CPLEX with applications in Engineering & Sciences (NACM3LCAES-2016)”
29. Keynote speaker in National Seminar on Recent Advances in Computational Mathematics(RACM) organized by Department of Applied Mathematics, University of Calcutta, India during 27-29 Dec 2016.
17. Participated in National / International Training Program and Workshop:
1. Deepmala, Participated in Indo-GermanWorkshop-cum-Lecture Series on ComputationalModels and Methods Driven by Industrial Problems (Phase I), IITMadras, 17- 28 Nov. (2008).
18 2. Deepmala, Participated in Training Program on Nonlinear Analysis with Applicationsto Optimization and Game Theory, Aligarh Muslim University, Aligarh,16-19 Nov. (2011).
3. Deepmala, Participated in Advanced Training program on Nonlinear FunctionalAnalysis and its Applications, Banaras Hindu University, Varanasi, 04-10March (2013).
4. Deepmala, Participated in National Education Summit 2014 „Towards Educating Young India‟ held on 10-11 Jan, 2014 at Mahatma Mandir, Gandhinagar, Gujrat organized jointly by Knowledge Consortium of Gujrat and various Universities/Institutions in Gujrat.
5. Deepmala, Participated in Advanced Workshop on Computational Methods for Integral Equations and Applications (AWCMIEA-2014), Indian Institute of Technology, Kanpur,13- 17 Jan 2014.
6. Deepmala, Participated in Research Scholars‟ Meet on Reliability Theory, Survival Analysis and Related Topics, Indian Statistical Institute, Kolkata, 19-21 February, (2014).
7. Deepmala, Participated in Workshop on Mathematics and Computing (ICMC 2015), during 05- 06 Jan 2015, at Haldia Institute of Technology, Haldia-721657, India.
8. Deepmala, Participated in Research Scholars‟ Meet on Reliability Theory, Survival Analysis and Related Topics, Indian Statistical Institute, Kolkata, 22-23 January, (2015).
9. Deepmala, Participated and Deliver a talk entitled “Solving optimization problems using Mathematica”, in workshop “Applied Optimization Models and Computation” organized by Indian Statistical Institute, Delhi, 28-30 January, (2015).
10. Deepmala, Participated in National Workshop on "Optimization Techniques for Solving Engineering and Management Problems" [OTSEMP 2016] organized by Discipline of Mechanical Engineering of Indian Institute of Information Technology, Design and Manufacturing Jabalpur (IIITDMJ) during 02-06 March, 2016.
18. Research Visit:
Visited Indian Statistical Institute, Kolkata, India for Research purpose during 13-20 Nov. 2013.
Visited Indian Statistical Institute, Delhi, India for Research purpose during 08-11 Sep. 2014.
19 Visited Indian Institute of Technology, Kharagpur, India during 02-03 April 2016.
19. Extra Curricular Activity
1. Team Manager of Pt. Ravishankar Shukla University, Raipur (C.G.) in East Zone Youth Festival 2007 held at Pt. RSU, Raipur organized by Association of Indian Universities (AIU).
2. Team Manager of Bhilai Mahila Mahavidyalaya, Sector-9, for NSS Camp at Arjunda, District- Durg, (C.G.) in 2007-08.
3. Participatedin East Zone Youth Festival 2006 in Discussion and Quizcompetition held at BIT Mesra, Ranchi.
4. Won First Prize in Debate Competition in Inter College University Level Youth Festival 2006 held at Pt. Ravishankar Shukla University, Raipur.
5. Won Third prize in National Youth Festival 2005 in Elocution competition held at Kurukshetra University (Haryana), organized by Association of Indian Universities.
6. Won First prize in East Zone Youth Festival 2005 in Elocution competition held at NEHU University, (Shillong) , organized by Association of Indian Universities.
7. Won First Prize in Elocution Competition in Inter College University Level Youth Festival 2005 held at Pt. Ravishankar Shukla University, Raipur.
8. Won Runner-up prize and Third prize in Inter University National Debate Competition 2004 on Cooperation held at Chandigarh, organized by National Cooperative Union of India.
9. Won First Prize in DebateCompetition 2004 in Inter College University Level Cooperation held at Pt. Ravishankar Shukla University, Raipur.
10. Secured First Position in Inter College State Level Debate Competitionin 2006 held at Bhilai, Sector-9 (Durg).
11. Secured First Position in Inter College State Level Debate Competitionin 2005 held at BIT (Durg). 12. Participated in Inter College State Level Debate Competition in 2004 held at Bhilai(Durg).
13. Secured First Position in Inter College Debate Competitionin 2006 held at JLN Hospital and Research Center, Sector-9.
14. Secured Second Position in Inter College Debate Competitionin 2005 held at JLN Hospital and Research Center, Sector-9.
15. Secured First Position in Inter College Debate Competitionin 2004 held at Bhilai by JCI-Durg.
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16. Secured First Position in Inter School Debate Competitionin 2002 held at ACC Bhilai.
17. Secured Second Position in State Level Inter School Debate Competitionin 2001 held at BhilaiSector-6.
18. Secured First Position in Inter School Debate Competitionin 2000 held at DAV School, ACC Jamul.
20. Membership
1. Member of the International Association of Engineers (IAENG) with Membership Number: 141872.
2. Life Membership of Indian Mathematical Society in the year 2012 with Membership Number: D-12-119
3. Life Membership as Senior member of International Society for Research and Development (ISRD) with Membership Number: SR 3140900153.
21. Contact Details - Deepmala D/O Mr. Nagina Rai ACC Jamul, Behind ACC Ram Mandir, Post – Jamul, Dist – Durg (C.G.) Pin Code – 490024. India.
22. Affiliation- Mathematics Discipline PDPM Indian Institute of Technology, Design & Manufacturing (IIITDM) Jabalpur, Dumna Airport Road, P.O. Khamaria Jabalpur-482005, (M.P.) India.
DECLARATION:
I hereby declare that the above details are true to the best of my knowledge.
Place: Jabalpur, India (Deepmala)
***
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