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Journal of Mathematical and Computational Science ISSN 1927-5307 (Print)

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J. Math. Comput. Sci. 12 (2022), Article ID 83

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

PDF (442.9 KB) https://doi.org/10.28919/jmcs/7077

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.

Published
7 February 2022
Volume
12 (2022)
License
CC BY 3.0

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.

Cite this article

N.-E. El Harmouchi, K. Chaira, A. 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), 83. https://doi.org/10.28919/jmcs/7077

BibTeX
@article{Harmouchi2022,
  author  = {El Harmouchi, Nour-Eddine and Chaira, Karim and Kamouss, Abdessamad},
  title   = {Approximation of best proximity pair for noncyclic relatively ρ-nonexpansive mappings in modular spaces endowed with a graph},
  journal = {J. Math. Comput. Sci.},
  volume  = {12},
  year    = {2022},
  pages   = {83},
  doi     = {10.28919/jmcs/7077}
}