Strong convergence theorems for equilibrium problem and countable Bregman totally quasi-asymptotically nonexpansive mappings

Abstract:

In this paper, we propose a new hybrid iterative scheme for finding a common solution of an equilibrium problem and fixed point of countable Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces. Moreover, we prove some strong convergence theorems under suitable control conditions. Finally, the application to zero point problem of maximal monotone operators is given by the result.