文章基本信息

标题：Convergence to Common Fixed Point for Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces
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作者：Yali Li ; Jianjun Liu ; Lei Deng 等
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2008
卷号：2008
DOI：10.1155/2008/687815
出版社：Hindawi Publishing Corporation
摘要：Let 𝐾 be a nonempty closed convex subset of a reflexive and strictly convex Banach space 𝐸 with a uniformly Gâteaux differentiable norm, ℱ={𝑇(ℎ)∶ℎ≥0} a generalized asymptotically nonexpansive self-mapping semigroup of 𝐾, and 𝑓∶𝐾→𝐾 a fixed contractive mapping with contractive coefficient 𝛽∈(0,1). We prove that the following implicit and modified implicit viscosity iterative schemes {𝑥𝑛} defined by 𝑥𝑛=𝛼𝑛𝑓(𝑥𝑛)