Convexity property and fixed-point theorems in CΩ-modular space

Author:

Hadi Sarem H.1,Madhi Zainab S.2,Park Choonkil3

Affiliation:

1. Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq

2. Department of Mathematics, College of Sciences, University of Basrah, Basrah, Iraq

3. Research Institute for Natural Sciences, Hanyang University, Seoul, Korea

Abstract

The purpose of this study is to introduce a new concept of the modular space, which is CΩ-modular space, and then some of the convex properties are discussed. We also study finding fixed-point in CΩ-modular space.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference12 articles.

1. on common fixed points in modular vector spaces;Abdou;Fixed Point Theory Appl,2015

2. A fixed point theorem and its application to integral equation in modular spaces;Taleb;Proceedings of the American Mathematical Society,1999

3. Common fixed point theorems of integral type in modular spaces;Razani;Bulletin of the Iranian Mathematical Society,2009

4. Best proximity points in modular function spaces;Zlatanov;Arab J Math,2015

5. Mongkolkeha C. and Kumam P. , Some Fixed Point Results for Generalized Weak Contraction Mappings in Modular Spaces, International Journal of Analysis 2013 Article ID 247378, 6 pages.

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