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Approximating fixed points of total asymptotically nonexpansive mappings

Fixed Point Theory and Applications volume 2006, Article number: 10673 (2006) Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematics, The Technion-Israel Institute of Technology, Haifa, 32000, Israel

    YaI Alber

  2. The Abdus Salam International Centre for Theoretical Physics, Trieste, 34014, Italy

    CE Chidume & H Zegeye

Authors
  1. YaI Alber
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  2. CE Chidume
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  3. H Zegeye
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Correspondence to YaI Alber.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Alber, Y., Chidume, C. & Zegeye, H. Approximating fixed points of total asymptotically nonexpansive mappings. Fixed Point Theory Appl 2006, 10673 (2006). https://doi.org/10.1155/FPTA/2006/10673

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