The Hashemite Kingdom of Jordan Yarmouk University

Jordan Journal of

Mathematics and Statistics An International Research Journal Funded by the Scientific Research Support Fund

Volume 6, No. 2, June 2013, Sha’aban 1434 H

ISSN(Print) 2075 - 7905 ISSN(Electronic) 2227- 5487

Jordan Journal of Mathematics and Statistics An International Research Journal

Volume 6, No. 2, June 2013, Sha’aban 1434 H

Jordan Journal of Mathematics and Statistics (JJMS): An International Peer-Reviewed Research Journal issued quarterly by the Deanship of Research and Graduate Studies, Yarmouk University, Irbid, Jordan, and funded by the support of Scientific Research Support Fund, Ministry of Higher Education and Scientific Research, Amman, Jordan. EDITOR-IN-CHIEF: Abdulla M. Al-Jarrah Department of Mathematics, Yarmouk University, Irbid, Jordan. Current Address: Dean of Research and Graduate Studies, Yarmouk University, Irbid, Jordan. E-mail: [email protected]

EDITORIAL SECRETARY: Enas Yousef, Deanship of Research and Graduate Studies, Yarmouk University. E-mail: [email protected] EDITORIAL BOARD:

Mashhoor A. Al-Refai Nabil T. Shawagfeh Department of Mathematics, Yarmouk University, Department of Mathematics, University of Jordan, Irbid, Jordan. Amman, Jordan. Current Address: Vice President, Princess Current Address: President, Al-Balqa Applied Sumaya University for Technology, Amman, University, Al-Salt, Jordan. Jordan. E-mail: [email protected] E-mail: [email protected]

Mufid M. Azzam Abdalah M. Rababah Department of Mathematics, University of Jordan, Department of Mathematics, JUST, Irbid, Jordan. Amman, Jordan. E-mail: [email protected] E-mail: [email protected]

Basem S. Masaedeh Ahmad A. Al-Rhayyel Department of Mathematics, Mutah University, Department of Mathematics, Yarmouk University, Karak, Jordan. Irbid, Jordan. E-mail: [email protected] E-mail: [email protected]

Khaled Al-Sharo Ahmad J. Alsalman Department of Mathematics, Al al-Bayt University, Department of Mathematics, Yarmouk University, Mafraq, Jordan. Irbid, Jordan. E-mail: [email protected] E-mail: [email protected]

Manuscripts should be submitted to: Prof. Abdulla M. Al-Jarrah Editor-in-Chief, Jordan Journal of Mathematics and Statistics Deanship of Research and Graduate Studies - Yarmouk University-Irbid-Jordan Tel. 00 962 2 7211111 Ext. 2072 E-mail: [email protected] - Website: http://journals.yu.edu.jo/jjms Jordan Journal of Mathematics and Statistics An International Research Journal

Volume 6, No. 2, June 2013, Sha’aban 1434 H

ADVISORY BOARD Abu-Dayyeh, Walid Ahmad Kiryakova, Virginia DOMAS, College of Science, Institute of Mathematics and Informatics - Bulgarian Academy of Sciences P.O. Box 36,Sultan Qaboos University, Al-Khod 123,Oman Acad. G. Bontchev Street, Block 8, Sofia 1113, Bulgaria E-mail: [email protected] E-mail: virginia@ diogenes.bg Ahmad, M.K. Kokilashvili, Vakhtang Dept. of Mathematics, Aleppo University, Syria A. Razmadze Mathematical Institute, Georgian Academy of Sciences, Email: [email protected] 1, Aleksidze Str.,Tbilisi, Georgia Email: [email protected] Aldroubi, Akram Dept. of Mathematics,Vanderbilt University, Nashville, TN 37240, USA Lau, Ka-Sing Email: [email protected] Dept. of Mathematics, Chinese University of Hong Kong, Shatin, Hong Kong Baddour, Hassan E-mail: [email protected] Dept. of Mathematics, Tishreen University, Syria E-mail: [email protected] Lu, Shanzhen Dept. of Mathematical Sciences, Beijing Normal University, Corsini, Piergiulio Beijing 100875, P.R. China University of Udine, Italy E-mail: [email protected] E-mail: [email protected] Madi, Mohammad De Malafosse, Bruno Asst. Dean for Research, College of Business & Economics, Internal LMAH, Université du Havre, BP 4006 IUT Le Havre, Funding Unit, Research Affairs, United Arab Emirates University, UAE 76610 Le Havre, France E-mail: [email protected] Email: [email protected] Malkowsky, Eberhard Duflot, Jeanne Jaegerschneise 26, D-35440 Linden l Forst, Germany 101 Weber Building, Colorado State University E-mail: [email protected] Fort Collins, CO 80523-1874, USA E-mail: [email protected] Manfredi, Juan J. Dept. of Mathematics, University of Pittsburg, Pittsburg, PA 15260, USA Ganster, Maximilian Email: [email protected] Dept. of Mathematics, Graz University of Technology, Steyrergasse 30, A-8010 Graz, Austria Martini, Horst E-mail: [email protected] Chair of the Faculty of Geometry Mathematics Technical University of Chemnitz, 09107 Chemnitz,Germany Gowrisankaran, Kohur E-mail: [email protected] Dept. of Mathematics & Statistics, McGill University, 805 Sherbrooke W., Montreal Qc H3A 2K6,Canada Miranda, Rick E-mail: [email protected] Dean of Natural Sciences, Colorado State University, Campus Delivery – 1801, Fort Collins, CO 80523-1801, USA Hajja, Mowaffaq Abdulla E-mail: [email protected] Dept. of Mathematics, Yarmouk University, Irbid, Jordan E-mail: [email protected] Mullen, Gary L. Department of Mathematics, The Pennsylvania State University, Hailat, Mohammad University Park, PA 16802, Phone: +1 814 865 2312 Chair of Mathematical Sciences Dept., University of South Carolina, E-mail: [email protected] Aiken, 471 University Parkway, Aiken, SC 29801, USA Email: [email protected] Nakkar, Hassan College of Science, Dept. of Mathematics, Al-Qassim University, Hamdan, Mohammed P.O. Box 237, Buraidah 81999, Saudi Arabia Senior Advisor, Arab Open University, E-mail: [email protected] P.O. Box 1339, Amman 11953, Jordan E-mail: [email protected] Nashed, Zuhair Dept. of Mathematics, 507 Mathematics and Physics Building, Ismail, Mourad E.H. University of Central Florida, Orlando, FL 32816-1364, USA Department of Mathematics, University of Central Florida, E-mail: [email protected] Orlando, FL 32816,USA E-mail: [email protected] Pourahmadi, Mohsen Division of Statistics, Northern Illinois University, DeKalb, Ill., 60115, USA Jain, Pawan Tel: +1 815 753 6829, Fax: 1 815 753 6776 F.N.A.Sc. Dept. of Mathematics, University of Delhi,Delhi 110 007, India Rakocevic, Vladimir Email: [email protected] Faculty of Mathematics and Sciences, University of Nis, Visegradska 33, 18000 Nis, Serbia Kabbaj, Salah-Eddine Email: [email protected] Dept. of Mathematical Sciences, King Fahd University of Petroleum & Minerals (KFUPM), PO Box 5046, Dhahran 31261, Saudi Arabia Vougioklis, Thomas Email: [email protected] Dept. of Mathematics, Democritos University of Thrace, Greece E-mail: [email protected] Kang, Ming-Chang Department of Mathematics,National Taiwan University,Taipei, Taiwan Zayed, Ahmed I. Email: [email protected] Professor and Chair, Dept. of Mathematical Sciences, Depaul University, 2320 N. Kenmore Ave, SAC 524, Chicago, Ill 60614, USA Email: [email protected] Scope and Description

Jordan Journal of Mathematics and Statistics (JJMS) is an international quarterly peer-reviewed research journal Funded by the Scientific Research Support Fund, Ministry of Higher Education and Scientific Research, Amman, Jordan. JJMS is published by the Deanship of Research and Graduate Studies, Yarmouk University, Irbid, Jordan. The Journal endeavors to publish significant original research articles in all areas of Pure Mathematics, Applied Mathematics, Pure Statistics, Applied Statistics and other related areas. Survey Papers and short communications will also be considered for publication.

Instructions to Authors Instructions to authors concerning manuscript organization and format apply to hardcopy submission by mail, and also to electronic online submission via the Journal homepage website (http://journals.yu.edu.jo/jjms).

Manuscript Submission To submit an article for publication in the JJMS, an author should send a hard copy or an electronic file of the manuscript as a single document including tables and figures. This means it should be one Microsoft word file …(a widely acceptable format e.g. PDF, LATEX/ S.W. preferred)and not a zipped file containing different files for text, tables, etc to: Editor in Chief : Prof. Abdulla M. Al-Jarrah Jordan Journal of Mathematics and Statistics Deanship of Research and Graduate Studies Yarmouk University –Irbid JORDAN Tel: 00962-2-7211111 Ext. 2072 Fax: 00962-2-7211121 E-mail: [email protected]

Organization of the Manuscript  Manuscripts must be written in English or Arabic (Manuscripts submitted in Arabic should be accompanied by an abstract and keywords in English).  There are no page charges to individuals or institutions for contributions.  All manuscripts will be reviewed.  The author should adhere to the following order of presentation: article title, author(s), e-mail, abstract, current mathematics subject classifications and keywords, main text, acknowledgement, references and full address (es).

Acknowledgments: Acknowledgments, including those for grant and financial support, should be typed in one paragraph directly preceding the References section.

References: References should be given in alphabetical order according to the surnames of the authors at the end of the paper. The following style should be used : - G. Köthe (1969), Topological vector spaces I, Springer-Verlag. - D.P.Blecher and V.I.Paulsen, Tensor products of operator spaces, J. Funct. Anal. 99(1991), 262-292.

Reprints and Proofs Authors will receive the first proofs for necessary corrections (no alterations or corrections, except printing errors will normally be accepted at this point), which should be retuned within one week of receipt. Authors will receive one copy of the issue in which their work appears and ten (10) offprint free of charge.

Copyright Submission is an admission by the authors that the manuscript has neither been previously published nor is being considered for publication elsewhere. A statement transferring copyright from the authors to Yarmouk University is required before the manuscript can be accepted for publication. The necessary form for such transfer is supplied by the Editor-in-Chief with the article proofs. Reproduction of any part of the contents of a published work is forbidden without a written permission by the Editor-in-Chief.

Disclaimer Opinions expressed in this journal are those of the authors and do not necessarily reflect the opinions of the editorial board, the university, the policy of the Scientific Research Support Fund or the Ministry of Higher Education and Scientific Research. " " The Hashemite Kingdom of Jordan Yarmouk University

Jordan Journal of

Mathematics and Statistics An International Research Journal Funded by the Scientific Research Support Fund

Volume 6, No. 2, June 2013, Sha’aban 1434 H

Jordan Journal of Mathematics and Statistics An International Research Journal

Volume 6, No. 2, June 2013, Sha’aban 1434 H

TABLE of CONTENTS

Property (m) For Bounded Linear Operators 81 M. H. M. Rashid

Nonuniform Wavelet Packet Bases for the Spaces Lp(R) and H1(R) 103 Sohrab Ali

A Fixed Point Theorem in Intuitionistic Fuzzy Metric Space 123

B. D. Pant, M. Alamgir Khan and S. Chauhan

Coupled Fixed Point Theorems for Compatible Maps and its variants 141 in Fuzzy Metric Spaces

Sumitra

Some Well Known Inequalities and its Applications in Information 157 Theory

K. C. Jain and Ram Naresh Saraswat