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
