Title of article :
Best `omega`-Proximity Point For `omega`-Proximal Quasi Contraction Mappings in Modular Metric Spaces
Author/Authors :
ASADI ، RAHELE Department of Mathematics - Payame Noor University , KARIMI ، LOTFOLLAH Department of Mathematics - Hamedan University of Technology, , FEIZI ، ESMAEIL Department of Mathematics - Bu-Ali Sina University
Abstract :
In this paper we introduce ω-proximal quasi contraction mapping and best ω-proximity point in modular metric spaces. In fact, we show that every ω-proximal quasi contraction mapping has unique best ω-proximity point in modular metric spaces. Finally, we give an example to illustrate the applications of our results.
Keywords :
modular metric space , best proximity point , proximal quasi contraction map , ω , proximal quasi contraction , proximal Picard sequence and T , orbitally ω , complete
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization
