Necessary and Sufficient Condition of Strong Convergence of an Implicit Iteration Process for a Finite Family of Nonexpansive Mappings

Tang Jing-rong · Journal of Chongqing Jiaotong University · 2007

A new two-step interative alogorithms is put forward in a uniformly convex Banach space.The necessary and sufficient condition of strong convergence of the implicit iteration process for a finite family of nonexpansive mappings is proved.The results may extend and improve some recent corresponding results.

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