Ekeland's variational principle

id: ekeland-s-variational-principle-262-11680888
title: Ekeland's variational principle
text: In mathematical analysis, Ekeland's variational principle, discovered by Ivar Ekeland, is a theorem that asserts that there exist nearly optimal solutions to some optimization problems. Ekeland's principle can be used when the lower level set of a minimization problems is not compact, so that the Bolzano–Weierstrass theorem cannot be applied. The principle relies on the completeness of the metric space. The principle has been shown to be equivalent to completeness of metric spaces. In proof theo
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original url: https://en.wikipedia.org/wiki/Ekeland%27s_variational_principle
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date modified: 2024-02-01T18:48:15Z
main entity: {"identifier":"Q1945203","url":"https://www.wikidata.org/entity/Q1945203"}
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