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. © 1988 American Mathematical Society.
Recommended Citation
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
Department(s)
Mathematics and Statistics
Keywords and Phrases
Banach's theorem; Caristi's theorem; Fixed point theorem
International Standard Serial Number (ISSN)
1088-6826; 0002-9939
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2023 American Mathematical Society, All rights reserved.
Publication Date
01 Jan 1988
