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  • 标题:Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces
  • 本地全文:下载
  • 作者:Somyot Plubtieng ; Kasamsuk Ungchittrakool
  • 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:2009
  • 卷号:2009
  • DOI:10.1155/2008/583082
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    The convex feasibility problem (CFP) of finding a point in the nonempty intersection ⋂ i = 1 N C i is considered, where N ⩾ 1 is an integer and the C i 's are assumed to be convex closed subsets of a Banach space E . By using hybrid iterative methods, we prove theorems on the strong convergence to a common fixed point for a finite family of relatively nonexpansive mappings. Then, we apply our results for solving convex feasibility problems in Banach spaces.

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