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arXiv · 1207.6207

A fixed point theorem for contractive mappings that characterizes metric completeness

Mortaza Abtahi
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Abstract

Inspired by the work of Suzuki in [Proc. Amer. Math. Soc. 136 (2008), 1861--1869] we prove a fixed point theorem for contractive mappings that generalizes a theorem of Geraghty in [Proc. Amer. Math. Soc., 40 (1973), 604--608] and characterizes metric completeness.

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Mortaza Abtahi. 2012-07-26. A fixed point theorem for contractive mappings that characterizes metric completeness. https://arxiv.org/abs/1207.6207

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