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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A fixed point theorem revisited
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by Alberta Bollenbacher and T. L. Hicks PDF
Proc. Amer. Math. Soc. 102 (1988), 898-900 Request permission

Abstract:

A version of a theorem commonly referred to as Caristi’s Theorem is given. It has an elementary constructive proof and it includes many generalizations of Banach’s fixed point theorem. Several examples illustrate the diversity that can occur.
References
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 898-900
  • MSC: Primary 54H25
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0934863-2
  • MathSciNet review: 934863