Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces

Abstract

Our purpose in this paper is to prove strong convergence theorems for approximation of a common zero of a finite family of maximal monotone operators which is also a fixed point for a left Bregman strongly relatively nonexpansive mapping in a reflexive Banach space. We also apply our results to approximation of solutions of nonlinear integral equations of Hammerstein type in reflexive Banach spaces.