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Asymptotic fixed points for nonlinear contractions


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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Chen, Y. Asymptotic fixed points for nonlinear contractions. Fixed Point Theory Appl 2005, 534975 (2005).

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