Caristi fixed-point theorem
id:
caristi-fixed-point-theorem-313-6362764
title:
Caristi fixed-point theorem
text:
In mathematics, the Caristi fixed-point theorem generalizes the Banach fixed-point theorem for maps of a complete metric space into itself. Caristi's fixed-point theorem modifies the ε -variational principle of Ekeland. The conclusion of Caristi's theorem is equivalent to metric completeness, as proved by Weston (1977). The original result is due to the mathematicians James Caristi and William Arthur Kirk. Caristi fixed-point theorem can be applied to derive other classical fixed-point results,
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original url:
https://en.wikipedia.org/wiki/Caristi_fixed-point_theorem
date created:
date modified:
2023-02-24T06:09:13Z
main entity:
{"identifier":"Q2287393","url":"https://www.wikidata.org/entity/Q2287393"}
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