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Asymptotic fixed points for nonlinear contractions

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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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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