Convergence Theorems for Bregman strongly nonexpansive mappings in reflexive Banach spaces

Abstract

In this paper,  we  study a  strong  convergence   for  a  common fixed point of a  finite family of  Bregman strongly nonexpansive mappings in the framework of    real reflexive Banach spaces.  As a consequence, we prove convergence theorem for a common fixed point of a finite family of Bergman relatively nonexpansive mappings. Furthermore, we apply our method to prove strong convergence
theorems of iterative algorithms for finding a common zero of finite family of  Bregman inverse strongly
monotone mappings and a solution of a finite family of variational inequality problems.