A hybrid approximation method for equilibrium, variational inequality and fixed point problems

Habtu Zegeye; Naseer Shahzad

doi:10.1016/j.nahs.2010.03.005

A hybrid approximation method for equilibrium, variational inequality and fixed point problems

Habtu Zegeye, Naseer Shahzad

Mathematics & Statistical Sciences

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26 Citations (Scopus)

Abstract

The purpose of this paper is to present an iterative scheme by a hybrid method for finding a common element of the fixed points of Ø-asymptotically nonexpansive mapping, the set of solutions of the equilibrium problem and the set of solutions of the variational inequality for an inverse strongly monotone operator in the framework of Banach spaces. We show that the iterative scheme converges strongly to a common element of the above three sets under appropriate conditions.

Original language	English
Pages (from-to)	619-630
Number of pages	12
Journal	Nonlinear Analysis: Hybrid Systems
Volume	4
Issue number	4
DOIs	https://doi.org/10.1016/j.nahs.2010.03.005
Publication status	Published - Nov 1 2010

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Analysis
Computer Science Applications

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10.1016/j.nahs.2010.03.005

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A hybrid approximation method for equilibrium, variational inequality and fixed point problems

Abstract

All Science Journal Classification (ASJC) codes

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