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

Habtu Zegeye

doi:10.1016/j.na.2009.10.014

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

Habtu Zegeye

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

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 language	English
Pages (from-to)	2136-2146
Number of pages	11
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	72
Issue number	3-4
DOIs	https://doi.org/10.1016/j.na.2009.10.014
Publication status	Published - Feb 1 2010

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.na.2009.10.014

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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.",

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AB - 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.

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3-4

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

Abstract

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