Viscosity Approximation Methods for Nonexpansive Multimaps in Banach Spaces  

作　　者：Habtu ZEGEYE Naseer SHAHZAD 

机构地区：[1]Bahir Dar University [2]Department of Mathematics, King Abdul Aziz University

出　　处：《Acta Mathematica Sinica,English Series》2010年第6期1165-1176,共12页数学学报（英文版）

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.

关 键 词：nonexpansive retract Banach spaces fixed point inwardness nonexpansive multimap 

分 类 号：O177.2[理学—数学] O189.2[理学—基础数学]