A fixed point theorem revisited

Alberta Bollenbacher; T. L. Hicks

doi:10.1090/S0002-9939-1988-0934863-2

A fixed point theorem revisited

Alberta Bollenbacher, T. L. Hicks

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	898-900
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	102
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1988-0934863-2
State	Published - Apr 1988
Externally published	Yes

Keywords

Banach's theorem
Caristi's theorem
Fixed point theorem

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10.1090/S0002-9939-1988-0934863-2

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A fixed point theorem revisited

Abstract

Keywords

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