Convergence of an iteration to common fixed points of two Bregman totally quasi-asymptotically nonexpansive mappings in refl exive Banach spaces

Abstract

In this paper, we introduce a hybrid iteration method and prove the convergence of this iteration process to common fixed points of two Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces. From this result, we gain some convergence results by such iterations for Bregman quasi-asymptotically nonexpansive mappings, totally quasi- -asymptotically nonexpansive mappings and quasi- -asymptotically nonexpansive mappings. In addition, we provide an example to illustrate the convergence of the proposed iteration.