A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems

Habtu Zegeye; Naseer Shahzad

doi:10.1016/j.na.2010.08.040

A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems

Habtu Zegeye
, Naseer Shahzad

Mathematics & Statistical Sciences

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

41 Citations (Scopus)

Abstract

We introduce an iterative process for finding an element in the common fixed point set of finite family of closed relatively quasi-nonexpansive mappings, common solutions of finite family of equilibrium problems and common solutions of finite family of variational inequality problems for monotone mappings in Banach spaces. Our theorem extends and unifies most of the results that have been proved for this important class of nonlinear operators.

Original language	English
Pages (from-to)	263-272
Number of pages	10
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	1
DOIs	https://doi.org/10.1016/j.na.2010.08.040
Publication status	Published - Jan 1 2011

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.na.2010.08.040

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AB - We introduce an iterative process for finding an element in the common fixed point set of finite family of closed relatively quasi-nonexpansive mappings, common solutions of finite family of equilibrium problems and common solutions of finite family of variational inequality problems for monotone mappings in Banach spaces. Our theorem extends and unifies most of the results that have been proved for this important class of nonlinear operators.

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A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems

Abstract

All Science Journal Classification (ASJC) codes

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