CONVERGENCE THEOREMS BASED ON THE SHRINKING PROJECTION METHOD FOR HEMI-RELATIVELY NONEXPANSIVE MAPPINGS, VARIATIONAL INEQUALITIES AND EQUILIBRIUM PROBLEMS

Abstract

In this paper, hemi-relatively nonexpansive mappings, variational inequalities and equilibrium problems are considered based on a shrinking projection method. 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 monotone opera- tors is studied.