文章基本信息

标题：Iterative Approximation of Common Fixed Points of Two Nonself Asymptotically Nonexpansive Mappings
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作者：Esref Turkmen ; Safeer Hussain Khan ; Murat Ozdemir 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2011
卷号：2011
DOI：10.1155/2011/487864
出版社：Hindawi Publishing Corporation
摘要：Suppose that 𝐾 is nonempty closed convex subset of a uniformly convex and smooth Banach space 𝐸 with 𝑃 as a sunny nonexpansive retraction and 𝐹∶=𝐹(𝑇1)∩𝐹(𝑇2)={𝑥∈𝐾∶𝑇1𝑥=𝑇2𝑥=𝑥}≠∅. Let 𝑇1,𝑇2∶𝐾→𝐸 be two weakly inward nonself asymptotically nonexpansive mappings with respect to 𝑃 with two sequences {𝑘𝑛(𝑖)}⊂[1,∞) satisfying ∑∞𝑛=1(𝑘𝑛(𝑖)−1)<∞(𝑖=1,2), respectively. For any given 𝑥1∈𝐾, suppose that {𝑥𝑛} is a sequence generated iteratively by 𝑥𝑛