Approximation of best proximity pair for noncyclic relatively ρ-nonexpansive mappings in modular spaces endowed with a graph

Nour-Eddine El Harmouchi, Karim Chaira, Abdessamad Kamouss

Abstract


In this work, at first we prove an existence result of best proximity pair for noncyclic relatively ρ-nonexpansive mapping in the setting of modular spaces endowed with a convex directed graph. Furthermore, we study the convergence of a pair of sequences ((xn, x’n ))n generated by a new iterative scheme for noncyclic relatively (ρG)-nonexpansive mapping in uniformly convex modular spaces equipped with a convex directed graph.

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Published: 2022-02-07

How to Cite this Article:

Nour-Eddine El Harmouchi, Karim Chaira, Abdessamad Kamouss, Approximation of best proximity pair for noncyclic relatively ρ-nonexpansive mappings in modular spaces endowed with a graph, J. Math. Comput. Sci., 12 (2022), Article ID 83

Copyright © 2022 Nour-Eddine El Harmouchi, Karim Chaira, Abdessamad Kamouss. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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