A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces

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Abstract

In this paper, we introduce an iterative process which converges strongly to a common element of a set of common fixed points of finite family of closed relatively quasi-nonexpansive mappings, the solution set of generalized equilibrium problem and the solution set of the variational inequality problem for an α-inverse strongly monotone mapping in Banach spaces.

Original languageEnglish
Pages (from-to)2136-2146
Number of pages11
JournalNonlinear Analysis, Theory, Methods and Applications
Volume72
Issue number3-4
DOIs
Publication statusPublished - Feb 1 2010

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Iteration Scheme
Fixed Point Problem
Variational Inequality Problem
Banach spaces
Equilibrium Problem
Common Fixed Point
Solution Set
Banach space
Generalized Equilibrium Problem
Inverse-strongly Monotone Mapping
Nonexpansive Mapping
Iterative Process
Converge
Closed
Family

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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