APPROXIMATING COMMON ELEMENTS OF FIXED POINTS OF BREGMAN TOTALLY QUASI-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SOLUTIONS OF A SYSTEM OF GENERALIZED MIXED EQUILIBRIUM PROBLEMS IN REFLEXIVE BANACH SPACES

In this paper, we introduce a hybrid iterative method for approximating common elements of common fixed points of a finite family of Bregman totally quasi-asymptotically nonexpansive mappings and solutions of a finite system of generalized mixed equilibrium problems. After that, a strong convergence result for the proposed iterative method is established and proved in reflexive Banach spaces. By this result, we get some convergence results for generalized mixed equilibrium problems in reflexive Banach spaces. Furthermore, we give a numerical example to illustrate the obtained results.