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- Kakutani_fixed-point_theorem abstract "In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a set-valued function defined on a convex, compact subset of a Euclidean space to have a fixed point, i.e. a point which is mapped to a set containing it. The Kakutani fixed point theorem is a generalization of Brouwer fixed point theorem. The Brouwer fixed point theorem is a fundamental result in topology which proves the existence of fixed points for continuous functions defined on compact, convex subsets of Euclidean spaces. Kakutani's theorem extends this to set-valued functions. The theorem was developed by Shizuo Kakutani in 1941 and was used by John Nash in his description of Nash equilibria. It has subsequently found widespread application in game theory and economics.".
- Kakutani_fixed-point_theorem wikiPageExternalLink fixedpoint.htm.
- Kakutani_fixed-point_theorem wikiPageExternalLink home.htm.
- Kakutani_fixed-point_theorem wikiPageID "2658571".
- Kakutani_fixed-point_theorem wikiPageRevisionID "603814402".
- Kakutani_fixed-point_theorem hasPhotoCollection Kakutani_fixed-point_theorem.
- Kakutani_fixed-point_theorem id "p/k055090".
- Kakutani_fixed-point_theorem title "Kakutani theorem".
- Kakutani_fixed-point_theorem subject Category:Fixed-point_theorems.
- Kakutani_fixed-point_theorem subject Category:Functional_analysis.
- Kakutani_fixed-point_theorem subject Category:General_equilibrium_and_disequilibrium.
- Kakutani_fixed-point_theorem subject Category:Mathematical_and_quantitative_methods_(economics).
- Kakutani_fixed-point_theorem subject Category:Mathematical_economics.
- Kakutani_fixed-point_theorem subject Category:Theorems_in_convex_geometry.
- Kakutani_fixed-point_theorem subject Category:Theorems_in_topology.
- Kakutani_fixed-point_theorem type Abstraction100002137.
- Kakutani_fixed-point_theorem type Communication100033020.
- Kakutani_fixed-point_theorem type Fixed-pointTheorems.
- Kakutani_fixed-point_theorem type Message106598915.
- Kakutani_fixed-point_theorem type Proposition106750804.
- Kakutani_fixed-point_theorem type Statement106722453.
- Kakutani_fixed-point_theorem type Theorem106752293.
- Kakutani_fixed-point_theorem type TheoremsInConvexGeometry.
- Kakutani_fixed-point_theorem type TheoremsInTopology.
- Kakutani_fixed-point_theorem comment "In mathematical analysis, the Kakutani fixed-point theorem is a fixed-point theorem for set-valued functions. It provides sufficient conditions for a set-valued function defined on a convex, compact subset of a Euclidean space to have a fixed point, i.e. a point which is mapped to a set containing it. The Kakutani fixed point theorem is a generalization of Brouwer fixed point theorem.".
- Kakutani_fixed-point_theorem label "Dekpuntstelling van Kakutani".
- Kakutani_fixed-point_theorem label "Kakutani fixed-point theorem".
- Kakutani_fixed-point_theorem label "Teorema del punto fijo de Kakutani".
- Kakutani_fixed-point_theorem label "Teorema di Kakutani".
- Kakutani_fixed-point_theorem label "Teorema do ponto fixo de Kakutani".
- Kakutani_fixed-point_theorem label "Théorème du point fixe de Kakutani".
- Kakutani_fixed-point_theorem sameAs Teorema_del_punto_fijo_de_Kakutani.
- Kakutani_fixed-point_theorem sameAs Théorème_du_point_fixe_de_Kakutani.
- Kakutani_fixed-point_theorem sameAs Teorema_di_Kakutani.
- Kakutani_fixed-point_theorem sameAs Dekpuntstelling_van_Kakutani.
- Kakutani_fixed-point_theorem sameAs Teorema_do_ponto_fixo_de_Kakutani.
- Kakutani_fixed-point_theorem sameAs m.07vxx7.
- Kakutani_fixed-point_theorem sameAs Q518524.
- Kakutani_fixed-point_theorem sameAs Q518524.
- Kakutani_fixed-point_theorem sameAs Kakutani_fixed-point_theorem.
- Kakutani_fixed-point_theorem wasDerivedFrom Kakutani_fixed-point_theorem?oldid=603814402.
- Kakutani_fixed-point_theorem isPrimaryTopicOf Kakutani_fixed-point_theorem.