Viscosity Approximation Methods for Nonexpansive Multimaps in Banach Spaces

作     者：Habtu ZEGEYE Naseer SHAHZAD 

作者机构：Bahir Dar University Department of Mathematics King Abdul Aziz University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2010年第26卷第6期

页      面：1165-1176页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：nonexpansive retract Banach spaces fixed point inwardness nonexpansive multimap 

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.