Viscosity approximation methods for pseudo-contractive semigroups in Banach spaces

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• 作者：Xue-song Li^a ; Nan-jing Huang^a ; ^{nanjinghuang@hotmail.com} ; Donal O’ ; Regan^b
• 关键词：47H09 ; 47H10 ; 47H20
• 刊名：Nonlinear Analysis
• 出版年：2012
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：June, 2012
• 卷：75
• 期：9
• 页码：3776-3786
• 文件大小：244 K

摘要

We study the strong convergence of two viscosity iteration processes for pseudo-contractive semigroup and for -strongly pseudo-contractive mapping in uniformly convex Banach spaces with uniformly G芒teaux differentiable norm. As special cases, we get strong convergence of two viscosity iteration processes for approximating common fixed points of nonexpansive semigroups in certain Banach spaces. The results presented in this paper extend and generalize previous results.