New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces
Kamonrat Nammanee, Rabian Wangkeeree · Fixed Point Theory and Applications · 2010
Abstract 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.