Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Kakutani_fixed-point_theorem
|
| gptkbp:field |
gptkb:mathematics
functional analysis fixed-point theory |
| gptkbp:generalizes |
gptkb:Brouwer_fixed-point_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Kakutani's theorem
|
| gptkbp:namedAfter |
gptkb:Shizuo_Kakutani
|
| gptkbp:publicationYear |
1941
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:sentence |
Every upper semi-continuous, convex-valued, nonempty-valued correspondence from a compact convex subset of a Euclidean space to itself has a fixed point.
|
| gptkbp:usedIn |
economics
game theory mathematical economics |
| gptkbp:bfsParent |
gptkb:Shizuo_Kakutani
gptkb:Masaru_Kakutani |
| gptkbp:bfsLayer |
7
|