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Viscosity Approximation Methods for Nonexpansive Multimaps in Banach Spaces 被引量:1

Viscosity Approximation Methods for Nonexpansive Multimaps in Banach Spaces
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摘要 We prove strong convergence of the viscosity approximation process for nonexpansive nonself multimaps. Furthermore, an explicit iteration process which converges strongly to a fixed point of multimap T is constructed. It is worth mentioning that, unlike other authors, we do not impose the condition "Tz = {z}" on the map T. We prove strong convergence of the viscosity approximation process for nonexpansive nonself multimaps. Furthermore, an explicit iteration process which converges strongly to a fixed point of multimap T is constructed. It is worth mentioning that, unlike other authors, we do not impose the condition "Tz = {z}" on the map T.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第6期1165-1176,共12页 数学学报(英文版)
关键词 nonexpansive retract Banach spaces fixed point inwardness nonexpansive multimap nonexpansive retract, Banach spaces, fixed point, inwardness, nonexpansive multimap
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