We study a strong convergence for a common fixed point of a#R##N#finite family of quasi-Bregman nonexpansive mappings in the framework of#R##N#real reflexive Banach spaces. As a consequence, convergence for a common#R##N#fixed point of a finite family of Bergman relatively nonexpansive mappings is#R##N#discussed. Furthermore, we apply our method to prove strong convergence theorems#R##N#of iterative algorithms for finding a common solution of a finite family#R##N#equilibrium problem and a common zero of a finite family of maximal monotone#R##N#mappings. Our theorems improve and unify most of the results that have#R##N#been proved for this important class of nonlinear mappings.
['Mohammed A. Alghamdi', 'Naseer Shahzad', 'Habtu Zegeye']
Strong Convergence Theorems for Quasi-Bregman Nonexpansive Mappings in Reflexive Banach Spaces