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A Note on Asymptotic Contractions

Fixed Point Theory and Applications volume 2007, Article number: 039465 (2006) Cite this article

Abstract

We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space to converge to its unique fixed point, uniformly on each bounded subset of .

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Georgia State University, Atlanta, GA, 30303, USA

    Marina Arav

  2. School of Mathematical and Physical Sciences, The University of Newcastle, Newcastle, NSW, 2308, Australia

    Francisco Eduardo Castillo Santos

  3. Department of Mathematics, The Technion–Israel Institute of Technology, Haifa, 32000, Israel

    Simeon Reich & Alexander J Zaslavski

Authors
  1. Marina Arav
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  2. Francisco Eduardo Castillo Santos
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  3. Simeon Reich
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  4. Alexander J Zaslavski
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Correspondence to Marina Arav.

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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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Arav, M., Castillo Santos, F.E., Reich, S. et al. A Note on Asymptotic Contractions. Fixed Point Theory Appl 2007, 039465 (2006). https://doi.org/10.1155/2007/39465

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  • DOI: https://doi.org/10.1155/2007/39465

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