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. © 1988 American Mathematical Society.
A. Bollenbacher and T. L. Hicks, "A Fixed Point Theorem Revisited," Proceedings of the American Mathematical Society, vol. 102, no. 4, pp. 898 - 900, American Mathematical Society, Jan 1988.
The definitive version is available at https://doi.org/10.1090/S0002-9939-1988-0934863-2
Mathematics and Statistics
Keywords and Phrases
Banach's theorem; Caristi's theorem; Fixed point theorem
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 1988