A strong convergence theorem for Bregman quasi-noexpansive mappings with applications

Abstract

In this paper we propose a new iterative algorithm for finding a common fixed point of an infinitely countable family of Bregman quasi-nonexpansive mappings in reflexive Banach spaces. We give some applications of our algorithm to solving equilibrium problems, convex feasibility problems, variational inequalities of monotone operators and finding zeros of maximal monotone operators.