Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems

Habtu Zegeye, Naseer Shahzad, Mohammad Ali Alghamdi

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8 Citations (Scopus)

Abstract

We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for continuous monotone mapping, solution of equilibrium problem and a common fixed point of finite family of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mappings in Banach spaces. Our scheme does not involve computation of Cn+1 from Cn for each n ≥ 1. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.

Original languageEnglish
Article number119
JournalFixed Point Theory and Applications
Volume2012
DOIs
Publication statusPublished - Dec 1 2012

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All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

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