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  • Research Article
  • Open Access

Approximating fixed points of total asymptotically nonexpansive mappings

Fixed Point Theory and Applications20062006:10673

https://doi.org/10.1155/FPTA/2006/10673

  • Received: 10 March 2005
  • Accepted: 28 August 2005
  • Published:

Abstract

We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings.

Keywords

  • Iterative Process
  • Differential Geometry
  • Normed Space
  • Weak Convergence
  • Nonexpansive Mapping

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Authors’ Affiliations

(1)
Department of Mathematics, The Technion-Israel Institute of Technology, Haifa, 32000, Israel
(2)
The Abdus Salam International Centre for Theoretical Physics, Trieste, 34014, Italy

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