Strong convergence theorems for quasi-Bregman nonexpansive mappings in reflexive banach spaces

We study a strong convergence for a common fixed point of a finite family of quasi-bregman nonexpansive mappings in the framework of real reflexive banach spaces. as a consequence,convergence for a common fixed point of a finite family of bergman relatively nonexpansive mappings is discussed. furthermore,we apply our method to prove strong convergence theorems of iterative algorithms for finding a common solution of a finite family equilibrium problem and a common zero of a finite family of maximal monotone mappings. our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings. © 2014 mohammed ali alghamdi et al.