%0 Journal Article %T Accelerated hybrid iterative algorithm for common fixed points of a finite families of countable Bregman quasi-Lipschitz mappings and solutions of generalized equilibrium problem with application %A Zhang, Jingling %A Agarwal, Ravi P. %A Jiang, Nan %J Journal of Nonlinear Sciences and Applications %D 2018 %V 11 %N 1 %@ ISSN 2008-1901 %F Zhang2018 %X The purpose of this paper is to introduce and consider a new accelerated hybrid shrinking projection method for finding a common element of the set \(EP \cap F\) in reflexive Banach spaces, where \(EP\) is the set of all solutions of a generalized equilibrium problem, and \(F\) is the common fixed point set of finite uniformly closed families of countable Bregman quasi-Lipschitz mappings. It is proved that the sequence generated by the accelerated hybrid shrinking projection iteration, converges strongly to the point in \(EP \cap F,\) under some conditions. 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