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  • 标题:Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces
  • 本地全文:下载
  • 作者:Somyot Plubtieng ; Rabian Wangkeeree
  • 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:2005
  • 卷号:2005
  • DOI:10.1155/IJMMS.2005.1685
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover, we prove that if T is uniformly L-Lipschitzian and completely continuous, then the iterative scheme converges strongly to some fixed point of T.
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