Article ID Journal Published Year Pages File Type
1713824 Nonlinear Analysis: Hybrid Systems 2010 11 Pages PDF
Abstract

In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a weak relatively nonexpansive mapping, the set of solutions of the variational inequality for the monotone mapping and the set of solutions of an equilibrium problem in a 2-uniformly convex and uniformly smooth Banach space. Then we show that the iterative sequence converges strongly to a common element of the three sets. In this paper, we also give an example which is a weak relatively nonexpansive mapping but not a relatively nonexpansive mapping in Banach space l2l2.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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