STRONG CONVERGENCE FOR BREGMAN RELATIVELY NONEXPANSIVE MAPPINGS IN REFLEXIVE BANACH SPACES AND APPLICATIONS

Abstract

We study the convergence of two iterative algorithms for finding fixed points of a Bregman relatively nonexpansive mapping in reflexive Banach spaces. We establish two strong convergence theorems and then apply them to the problems of the solutions of convex feasibility, zeros of maximal monotone operator in reflexive Banach spaces.