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A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems
Journal article   Peer reviewed

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

Habtu Zegeye, Naseer Shahzad and Nadia Shahzad
Nonlinear analysis, Vol.74(1), pp.263-272
01/01/2011

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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. (C) 2010 Elsevier Ltd. All rights reserved.

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