Convergence and Existence of Fixed Points of Set-valued Nonexpansive Mapping

Hongzhi Li · Shuxue de shijian yu renshi · 2009

This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for δset-valued nonexpansive mapping in uniformly covex Banach space,and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point.The result generalizes and develops some known results of single-valued nonexpansive mapping.

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