Strong Convergence Theorem for Generalized Mixed Equilibrium Problem and Bregman Totally Quasi-asymptotically Nonexpansive Mappings in Reflexive Banach Spaces

Kittisak Jantakarn, Anchalee Kaewcharoen

Abstract

In this paper, we propose a new iterative algorithm for finding the common solutions of the generalized mixed equilibrium problems and fixed point problems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces. Moreover, the strong convergence theorem under suitable control conditions is proven and the numerical result for supporting our main result is presented.