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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Uniformly contractive fixed points in compact metric spaces


Author: Solomon Leader
Journal: Proc. Amer. Math. Soc. 86 (1982), 153-158
MSC: Primary 54H25
MathSciNet review: 663887
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Abstract: Let $ f$ be a continuous self-map on a compact metric space. Equivalent conditions are given for the existence of a uniformly contractive fixed point $ w({f^n}x \to w$ uniformly for all $ x$). Corollaries give sufficient conditions for uniformly contractive fixed points subsuming some known results.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0663887-2
PII: S 0002-9939(1982)0663887-2
Article copyright: © Copyright 1982 American Mathematical Society