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- Ekelands_variational_principle abstract "In mathematical analysis, Ekeland's variational principle, discovered by Ivar Ekeland, is a theorem that asserts that there exists nearly optimal solutions to some optimization problems.Ekeland's variational 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. Ekeland's principle relies on the completeness of the metric space.Ekeland's principle leads to a quick proof of the Caristi fixed point theorem.Ekeland's principle has been shown by F. Sullivan to be equivalent to completeness of metric spaces.Ekeland was associated with the Paris Dauphine University when he proposed this theorem.".
- Ekelands_variational_principle wikiPageID "21341034".
- Ekelands_variational_principle wikiPageLength "3708".
- Ekelands_variational_principle wikiPageOutDegree "15".
- Ekelands_variational_principle wikiPageRevisionID "697837153".
- Ekelands_variational_principle wikiPageWikiLink Bolzano–Weierstrass_theorem.
- Ekelands_variational_principle wikiPageWikiLink Caristi_fixed-point_theorem.
- Ekelands_variational_principle wikiPageWikiLink Category:Convex_analysis.
- Ekelands_variational_principle wikiPageWikiLink Category:Theorems_in_functional_analysis.
- Ekelands_variational_principle wikiPageWikiLink Category:Variational_principles.
- Ekelands_variational_principle wikiPageWikiLink Compact_space.
- Ekelands_variational_principle wikiPageWikiLink Complete_metric_space.
- Ekelands_variational_principle wikiPageWikiLink Ivar_Ekeland.
- Ekelands_variational_principle wikiPageWikiLink Level_set.
- Ekelands_variational_principle wikiPageWikiLink Mathematical_analysis.
- Ekelands_variational_principle wikiPageWikiLink Metric_space.
- Ekelands_variational_principle wikiPageWikiLink Optimization_problem.
- Ekelands_variational_principle wikiPageWikiLink Paris_Dauphine_University.
- Ekelands_variational_principle wikiPageWikiLink Semi-continuity.
- Ekelands_variational_principle wikiPageWikiLinkText "Ekeland's variational principle".
- Ekelands_variational_principle wikiPageWikiLinkText "Variational principle".
- Ekelands_variational_principle wikiPageWikiLinkText "variational principle of".
- Ekelands_variational_principle wikiPageUsesTemplate Template:Cite_book.
- Ekelands_variational_principle wikiPageUsesTemplate Template:Cite_journal.
- Ekelands_variational_principle subject Category:Convex_analysis.
- Ekelands_variational_principle subject Category:Theorems_in_functional_analysis.
- Ekelands_variational_principle subject Category:Variational_principles.
- Ekelands_variational_principle hypernym Theorem.
- Ekelands_variational_principle type Concept.
- Ekelands_variational_principle type Function.
- Ekelands_variational_principle type Physic.
- Ekelands_variational_principle comment "In mathematical analysis, Ekeland's variational principle, discovered by Ivar Ekeland, is a theorem that asserts that there exists nearly optimal solutions to some optimization problems.Ekeland's variational 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.".
- Ekelands_variational_principle label "Ekeland's variational principle".
- Ekelands_variational_principle sameAs Q1945203.
- Ekelands_variational_principle sameAs Principe_variationnel_dEkeland.
- Ekelands_variational_principle sameAs Beginsel_van_Ekeland.
- Ekelands_variational_principle sameAs m.05fb897.
- Ekelands_variational_principle sameAs Q1945203.
- Ekelands_variational_principle wasDerivedFrom Ekelands_variational_principle?oldid=697837153.
- Ekelands_variational_principle isPrimaryTopicOf Ekelands_variational_principle.