A common solution of generalized equilibrium, zeros of monotone mapping and fixed point problems

Solomon Bekele Zegeye, Mengistu Goa Sangago, Habtu Zegeye

Research output: Contribution to journalArticlepeer-review

Abstract

It is the purpose of this paper to introduce an iterative process which converges strongly to a common point of the set of solutions of a finite family of generalized equilibrium problems, the set of fixed points of a finite family of continuous asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense, and the set of zeros of a finite family of γ-inverse strongly monotone mappings in uniformly convex and uniformly smooth real Banach space. Our results improve and unify most of the results that have been proved for this important class of nonlinear mappings.

Original languageEnglish
JournalJournal of Analysis
DOIs
Publication statusAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Analysis
  • Applied Mathematics
  • Geometry and Topology

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