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A generalized Banach contraction principle that characterizes metric completeness
Tomonari Suzuki
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Source: Crossref
Published: Dec 6, 2007
DOI: 10.1090/s0002-9939-07-09055-7
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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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