Kakutani fixed-point theorem (Q518524)
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theorem that a function f: S→Pow(S) on a compact nonempty convex subset S⊂ℝⁿ, whose graph is closed and whose image f(x) is nonempty and convex for all x∈S, has a fixed point
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kakutani fixed-point theorem |
theorem that a function f: S→Pow(S) on a compact nonempty convex subset S⊂ℝⁿ, whose graph is closed and whose image f(x) is nonempty and convex for all x∈S, has a fixed point |
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1938
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Wikipedia(14 entries)
- cawiki Teorema del punt fix de Kakutani
- dewiki Fixpunktsatz von Kakutani
- enwiki Kakutani fixed-point theorem
- eswiki Teorema del punto fijo de Kakutani
- frwiki Théorème du point fixe de Kakutani
- hewiki משפט נקודת השבת של קאקוטאני
- itwiki Teorema di Kakutani
- jawiki 角谷の不動点定理
- kowiki 가쿠타니 사상
- nlwiki Dekpuntstelling van Kakutani
- ptwiki Teorema do ponto fixo de Kakutani
- ruwiki Теорема Какутани о неподвижной точке
- ukwiki Теорема Какутані про нерухому точку
- zhwiki 角谷不动点定理