Best `omega`-Proximity Point For `omega`-Proximal Quasi Contraction Mappings in Modular Metric Spaces

Document Type : Original Article

Authors
Raheleh Asadi 1
Lotfollah Karimi 2
Esmaeil Feizi 3
1 Department of Mathematics, Payame Noor University, Tehran, Iran.
2 Department of Mathematics, Hamedan University of Technology, Hamedan, Iran.
3 Department of Mathematics, Bu-Ali Sina University, Hamedan, Iran.
10.29252/maco.1.2.9
Abstract
In this paper we introduce `omega`-proximal quasi contraction mapping and best `omega`-proximity point in modular metric spaces. In fact, we show that
every `omega`-proximal quasi contraction mapping has unique best `omega`-proximity point in modular metric spaces. Finally, we give an example to illustrate the applications of our results. 

Keywords

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Mathematical Analysis and Convex Optimization
Volume 1, Issue 2
December 2020
Pages 95-101