Approximating a common fixed point of a finite family of nonlinear mappings in modular function spaces

Getahun Bekele Wega, Habtu Zegeye

Research output: Contribution to journalArticle

Abstract

In this study, it is our purpose to investigate an algorithm for approximating a common fixed point of a finite family of ρ-quasi-nonexpansive mappings. In addition, we propose and analyze a scheme which estimates a common fixed point of a finite family of multivalued mappings in modular function spaces. As a consequence, we establish the ρ-convergence of the proposed algorithms under some mild conditions. In addition, some numerical examples which support our main results are presented. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

Original languageEnglish
Article number99
JournalComputational and Applied Mathematics
Volume38
Issue number3
DOIs
Publication statusPublished - Sep 1 2019

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

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