Convergence Theorems Based on the Shrinking Projection Method for Hemi-relatively Nonexpansive Mappings, Variational Inequalities and Equilibrium Problems

Zi-Ming Wang, Sun Young Cho, Yongfu Su

Abstract

In this paper, hemi-relatively nonexpansive mappings, variational inequalities andequilibrium problems are considered  based on a shrinking projectionmethod. Strong convergence of iterative sequences is obtained  in a uniformly convex and uniformly smooth Banach space. As an application, the problem of  finding zeros of maximal monotoneoperators is studied.