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Convergece Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings

Journal of Inequalities and Applications volume 2007, Article number: 068616 (2007) Cite this article

Abstract

Let be a real Banach space, a closed convex nonempty subset of, and asymptotically quasi-nonexpansive mappings with sequences (resp.) satisfying as, and. Let be a sequence in. Define a sequence by,,,,,. Let. Necessary and sufficient conditions for a strong convergence of the sequence to a common fixed point of the family are proved. Under some appropriate conditions, strong and weak convergence theorems are also proved.

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Authors and Affiliations

  1. Mathematics Section, The Abdus Salam International Centre for Theoretical Physics, Trieste, 34014, Italy

    CE Chidume

  2. Department of Mathematical Sciences, Bayero University, Kano, Nigeria

    Bashir Ali

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  1. CE Chidume
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  2. Bashir Ali
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Correspondence to CE Chidume.

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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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Chidume, C., Ali, B. Convergece Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings. J Inequal Appl 2007, 068616 (2007). https://doi.org/10.1155/2007/68616

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  • DOI: https://doi.org/10.1155/2007/68616

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