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文章基本信息

  • 标题:Convergence Theorem for a Family of Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces
  • 本地全文:下载
  • 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
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