%0 Journal Article
%T New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces
%A Nammanee Kamonrat
%A Wangkeeree Rabian
%J Fixed Point Theory and Applications
%D 2011
%I Springer
%X We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in the framework of reflexive Banach spaces which admit a weakly continuous duality mapping. Finally, we apply our results to solve the the equilibrium problems and the problem of finding a zero of an accretive operator. The results presented in this paper mainly improve on the corresponding results reported by many others.
%U http://www.fixedpointtheoryandapplications.com/content/2011/671754