Kakutani fixed-point theorem
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.
known for
Wikipage disambiguates
Abstract economyArrow–Debreu modelBrouwer fixed-point theoremContinuous gameDiscrete fixed-point theoremEfficient envy-free divisionFixed-point theoremFixed-point theorems in infinite-dimensional spacesFixed point (mathematics)General equilibrium theoryGlicksberg fixed-point theoremGérard DebreuKakutaniKakutani's fixed point theoremKakutani's theoremKakutani fixed point theoremKakutani theoremKy Fan fixed point theoremLionel W. McKenzieList of PPAD-complete problemsList of Yale University peopleMaximum theoremMultivalued functionNash equilibriumOsaka_UniversitySchauder fixed-point theoremShizuo KakutaniTohoku_UniversityWeller's theorem
Link from a Wikipage to another Wikipage
known for
differentFrom
primaryTopic
Kakutani fixed-point theorem
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.
has abstract
Der Fixpunktsatz von Kakutani ...... it das Auswahlaxiom) benötigt.
@de
Dins l'entorn de l'anàlisi mat ...... a dels equilibris de Nash en .
@ca
Em análise matemática, o teore ...... stência do equilíbrio de Nash.
@pt
En analyse mathématique, le th ...... éorie des jeux et en économie.
@fr
En análisis matemático el teor ...... de Nash en estrategias mixtas.
@es
In de wiskundige analyse, een ...... ing, waarin dit punt voorkomt.
@nl
In matematica, il teorema di K ...... oria dei giochi e in economia.
@it
In mathematical analysis, the ...... in game theory and economics.
@en
Теорема Какутани о неподвижной ...... точке на многозначные функции.
@ru
Теорема Какутані про нерухому ...... енні існування рівноваги Неша.
@uk
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,016,893,467
Link from a Wikipage to another Wikipage
id
p/k055090
@en
title
Kakutani theorem
@en
wikiPageUsesTemplate
subject
hypernym
type
comment
Der Fixpunktsatz von Kakutani ...... alkettensatz oder das Lemma vo
@de
Dins l'entorn de l'anàlisi mat ...... a dels equilibris de Nash en .
@ca
Em análise matemática, o teore ...... stência do equilíbrio de Nash.
@pt
En analyse mathématique, le th ...... son image par cette fonction.
@fr
En análisis matemático el teor ...... unto que también lo contiene).
@es
In de wiskundige analyse, een ...... ing, waarin dit punt voorkomt.
@nl
In matematica, il teorema di K ...... oria dei giochi e in economia.
@it
In mathematical analysis, the ...... this to set-valued functions.
@en
Теорема Какутани о неподвижной ...... точке на многозначные функции.
@ru
Теорема Какутані про нерухому ...... енні існування рівноваги Неша.
@uk
label
Dekpuntstelling van Kakutani
@nl
Fixpunktsatz von Kakutani
@de
Kakutani fixed-point theorem
@en
Teorema del punt fix de Kakutani
@ca
Teorema del punto fijo de Kakutani
@es
Teorema di Kakutani
@it
Teorema do ponto fixo de Kakutani
@pt
Théorème du point fixe de Kakutani
@fr
Теорема Какутани о неподвижной точке
@ru
Теорема Какутані про нерухому точку
@uk