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On contractive mappings

Michael A. Geraghty

Source record

Source: Crossref

Published: Oct 1, 1973

DOI: 10.1090/s0002-9939-1973-0334176-5

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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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