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On contractive mappings
Michael A. Geraghty
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Source: Crossref
Published: Oct 1, 1973
DOI: 10.1090/s0002-9939-1973-0334176-5
Open original source ↗Source abstract
The Cauchy condition for convergence of a contractive iteration in a complete metric space is replaced by an equivalent functional condition. Many generalizations of the Banach-Neumann contractive mapping principle follow.
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