Some results on an iterative method for nonexpansive mappings in different spaces

Xiaolong Qin, Changqun Wu, Meijuan Shang · 2008

In this paper, we introduce a modified three-step iterative scheme for approximating a fixed point of nonexpansive mappings in the framework of uniformly smooth Banach spaces and the reflexive Banach spaces which have a weakly continuous duality map, respectively. we establish the strong convergence of the modified three-step iterative scheme. The results improve and extend recent ones given by other authors.

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