Algorithm for system of equilibrium problems and Bregman totally asymptotically quasi-nonexpansive mappings in Banach spaces

Pheerachate Bunpatcharacharoen

Abstract

In this paper, we introduce a new algorithm for nding common xed points of two Bregmantotally asymptotically quasi-nonexpansive mappings together with the solutions of equilibrium problems inBanach spaces. Moreover, we prove some strong convergence theorems under suitable control conditions.Our results extend and improve the recent ones of some others in the literature.