ITERATIVE PROCEDURES FOR LEFT BREGMAN STRONGLY RELATIVELY NONEXPANSIVE MAPPINGS WITH APPLICATION TO EQUILIBRIUM PROBLEMS.

Our purpose in this paper is to prove strong convergence theorems using the modified Mann type iteration for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping in the framework of reflexive real Banach spaces. We also discuss the approximation of a fixed point of a left Bregman strongly nonexpansive mapping which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature. [ABSTRACT FROM AUTHOR]