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  • 标题:Generalized Mann Iterations for Approximating Fixed Points of a Family of Hemicontractions
  • 本地全文:下载
  • 作者:Liang-Gen Hu ; Ti-Jun Xiao ; Jin Liang
  • 期刊名称:Fixed Point Theory and Applications
  • 印刷版ISSN:1687-1820
  • 电子版ISSN:1687-1812
  • 出版年度:2008
  • 卷号:2008
  • DOI:10.1155/2008/824607
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    This paper concerns common fixed points for a finite family of hemicontractions or a finite family of strict pseudocontractions on uniformly convex Banach spaces. By introducing a new iteration process with error term, we obtain sufficient and necessary conditions, as well as sufficient conditions, for the existence of a fixed point. As one will see, we derive these strong convergence theorems in uniformly convex Banach spaces and without any requirement of the compactness on the domain of the mapping. The results given in this paper extend some previous theorems.

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