New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces

作者:Nammanee Kamonrat; Wangkeeree Rabian*
来源:Fixed Point Theory and Applications, 2011, 2011(1): 671754.
DOI:10.1155/2011/671754

摘要

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.

  • 出版日期2011

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