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Fixed Point Theory and Algorithms for Sciences and Engineering
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Asymptotic fixed points for nonlinear contractions

Fixed Point Theory and Applications volume 2005, Article number: 534975 (2005) Cite this article

Abstract

Recently, W. A. Kirk proved an asymptotic fixed point theorem for nonlinear contractions by using ultrafilter methods. In this paper, we prove his theorem under weaker assumptions. Furthermore, our proof does not use ultrafilter methods.

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  1. Department of Mathematics, Computer Science and Engineering, University of Pittsburgh at Bradford, Bradford, PA, 16701, USA

    Yong-Zhuo Chen

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  1. Yong-Zhuo Chen
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Correspondence to Yong-Zhuo Chen.

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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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Chen, YZ. Asymptotic fixed points for nonlinear contractions. Fixed Point Theory Appl 2005, 534975 (2005). https://doi.org/10.1155/FPTA.2005.213

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  • DOI: https://doi.org/10.1155/FPTA.2005.213