Approximating Fixed Points of Total Asymptotically Nonexpansive Mappings

  title={Approximating Fixed Points of Total Asymptotically Nonexpansive Mappings},
  author={Ya. I. Alber and Charles E. Chidume and H. Zegeye},
The class of asymptotically nonexpansive maps was introduced by Goebel and Kirk [18] as a generalization of the class of nonexpansive maps. They proved that if K is a nonempty closed convex bounded subset of a real uniformly convex Banach space and T is an asymptotically nonexpansive self-mapping of K , then T has a fixed point. Alber and Guerre-Delabriere have studied in [3–5] weakly contractive mappings of the class Cψ . Definition 1.1. An operator T is called weakly contractive of the class… CONTINUE READING
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Iterative methods for solving fixed - point problems with nonself - mappings in Banach spaces

  • S. C. Bose
  • Abstract and Applied Analysis
  • 2003

Demi-closed principle and weak convergence problems for asymptotically nonexpansive mappings

  • S. S. Chang, Y. J. Cho, H. Zhou
  • Journal of the Korean Mathematical Society 38
  • 2001
2 Excerpts

Extension of subgradient techniques for nonsmooth optimization in Banach spaces, Set-Valued Analysis

  • Ya. I. Alber, A. N. Iusem
  • An International Journal Devoted to the Theory of…
  • 2001

Mann and Ishikawa iterations with errors for non - Lipschitzian mappings in Banach spaces , Computers & Mathematics with Applications

  • T. H. Kim
  • An International Journal
  • 2001

Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces

  • G. E. Kim, T. H. Kim
  • Computers & Mathematics with Applications. An…
  • 2001
1 Excerpt

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