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- Caristi_fixed-point_theorem abstract "In mathematics, the Caristi fixed-point theorem (also known as the Caristi–Kirk fixed-point theorem) generalizes the Banach fixed point theorem for maps of a complete metric space into itself. Caristi's fixed-point theorem is a variation of the ε-variational principle of Ekeland (1974, 1979). Moreover, 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 another classical fixed-point theorems results and also to prove the existence of bounded solutions of a functional equation.".
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- Caristi_fixed-point_theorem wikiPageLength "3073".
- Caristi_fixed-point_theorem wikiPageOutDegree "15".
- Caristi_fixed-point_theorem wikiPageRevisionID "703354333".
- Caristi_fixed-point_theorem wikiPageWikiLink Banach_fixed-point_theorem.
- Caristi_fixed-point_theorem wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Caristi_fixed-point_theorem wikiPageWikiLink Category:Fixed-point_theorems.
- Caristi_fixed-point_theorem wikiPageWikiLink Category:Metric_geometry.
- Caristi_fixed-point_theorem wikiPageWikiLink Category:Theorems_in_real_analysis.
- Caristi_fixed-point_theorem wikiPageWikiLink Complete_metric_space.
- Caristi_fixed-point_theorem wikiPageWikiLink Ekelands_variational_principle.
- Caristi_fixed-point_theorem wikiPageWikiLink Functional_equation.
- Caristi_fixed-point_theorem wikiPageWikiLink Ivar_Ekeland.
- Caristi_fixed-point_theorem wikiPageWikiLink James_Caristi.
- Caristi_fixed-point_theorem wikiPageWikiLink Mathematics.
- Caristi_fixed-point_theorem wikiPageWikiLink Metric_space.
- Caristi_fixed-point_theorem wikiPageWikiLink Proceedings_of_the_American_Mathematical_Society.
- Caristi_fixed-point_theorem wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Caristi_fixed-point_theorem wikiPageWikiLink William_Arthur_Kirk.
- Caristi_fixed-point_theorem wikiPageWikiLinkText "Caristi fixed-point theorem".
- Caristi_fixed-point_theorem wikiPageUsesTemplate Template:Cite_journal.
- Caristi_fixed-point_theorem wikiPageUsesTemplate Template:Reflist.
- Caristi_fixed-point_theorem subject Category:Fixed-point_theorems.
- Caristi_fixed-point_theorem subject Category:Metric_geometry.
- Caristi_fixed-point_theorem subject Category:Theorems_in_real_analysis.
- Caristi_fixed-point_theorem type Theorem.
- Caristi_fixed-point_theorem comment "In mathematics, the Caristi fixed-point theorem (also known as the Caristi–Kirk fixed-point theorem) generalizes the Banach fixed point theorem for maps of a complete metric space into itself. Caristi's fixed-point theorem is a variation of the ε-variational principle of Ekeland (1974, 1979). Moreover, the conclusion of Caristi's theorem is equivalent to metric completeness, as proved by Weston (1977).".
- Caristi_fixed-point_theorem label "Caristi fixed-point theorem".
- Caristi_fixed-point_theorem sameAs Q2287393.
- Caristi_fixed-point_theorem sameAs Théorème_du_point_fixe_de_Caristi.
- Caristi_fixed-point_theorem sameAs Teorema_di_Caristi.
- Caristi_fixed-point_theorem sameAs カリスティの不動点定理.
- Caristi_fixed-point_theorem sameAs Dekpuntstelling_van_Caristi.
- Caristi_fixed-point_theorem sameAs m.02rztrx.
- Caristi_fixed-point_theorem sameAs Q2287393.
- Caristi_fixed-point_theorem wasDerivedFrom Caristi_fixed-point_theorem?oldid=703354333.
- Caristi_fixed-point_theorem isPrimaryTopicOf Caristi_fixed-point_theorem.