A generalized Banach contraction principle that characterizes metric completeness

Suzuki, Tomonari

doi:10.1090/S0002-9939-07-09055-7

A generalized Banach contraction principle that characterizes metric completeness
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by Tomonari Suzuki

Proc. Amer. Math. Soc. 136 (2008), 1861-1869

DOI: https://doi.org/10.1090/S0002-9939-07-09055-7

Published electronically: December 6, 2007

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Abstract:

We prove a fixed point theorem that is a very simple generalization of the Banach contraction principle and characterizes the metric completeness of the underlying space. We also discuss the Meir-Keeler fixed point theorem.

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