文章基本信息

标题：Convergence Theorem for a Family of Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces
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作者：Bashir Ali ; G. C. Ugwunnadi
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：2012
卷号：2012
DOI：10.1155/2012/986426
出版社：Hindawi Publishing Corporation
摘要：Let 𝐸 be a real reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm. Let 𝔍={𝑇(𝑡)∶𝑡≥0} be a family of uniformly asymptotically regular generalized asymptotically nonexpansive semigroup of 𝐸, with functions 𝑢,𝑣∶[0,∞)→[0,∞). Let 𝐹∶=𝐹(𝔍)=∩𝑡≥0𝐹(𝑇(𝑡))≠∅ and 𝑓∶𝐾→𝐾 be a weakly contractive map. For some positive real numbers 𝜆 and 𝛿 satisfying 𝛿