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

Research output: Contribution to journalArticle

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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Relatively Nonexpansive Mapping
Asymptotically Nonexpansive Mapping
Monotone Mapping
Uniformly continuous
Fixed Point Problem
Variational Inequality Problem
Strong Theorems
Nonlinear Operator
Equilibrium Problem
Iterative Process
Common Fixed Point
Strong Convergence
Equilibrium Point
Convergence Theorem
Variational Inequalities
Banach space
Converge
Banach spaces
Theorem
Family

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

Cite this

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Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems. / Zegeye, Habtu; Shahzad, Naseer; Alghamdi, Mohammad Ali.

In: Fixed Point Theory and Applications, Vol. 2012, 119, 01.12.2012.

Research output: Contribution to journalArticle

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