Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces

Using bregman functions,we introduce a new hybrid iterative scheme for finding common fixed points of an infinite family of bregman weakly relatively nonexpansive mappings in banach spaces. we prove a strong convergence theorem for the sequence produced by the method. no closedness assumption is imposed on a mapping t:c→c,where c is a closed and convex subset of a reflexive banach space e. furthermore,we apply our method to solve a system of equilibrium problems in reflexive banach spaces. some application of our results to the problem of finding a minimizer of a continuously fréchet differentiable and convex function in a banach space is presented. our results improve and generalize many known results in the current literature. copyright © 2014 c.-t. pang and e. naraghirad.