A note on Kellogg’s uniqueness theorem for fixed points

Louis A. Talman

Source record

Source: Crossref

Published: May 1, 1978

DOI: 10.1090/s0002-9939-1978-0467416-7

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Source abstract

In 1975, R. B. Kellogg gave a condition guaranteeing uniqueness for the fixed point whose existence is insured by the Schauder Theorem. In this note, we indicate how to extend Kellogg’s result to the class of k -set-contractions.

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