Kakutani fixed-point theorem
Sign in to savetheorem 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
In the Vinony graph
Within Vinony's link graph, Kakutani fixed-point theorem is referenced by 666 other articles, and connects out to John Forbes Nash, simplex and economics.
It is catalogued under topics including Fixed-point theorems, General equilibrium theory and Theorems in convex geometry.
Its subject is documented across 14 Wikipedia language editions.
Wikidata facts
- Instance of
- fixed-point theorem
- Named after
- Shizuo Kakutani
Show 5 more facts
- discoverer or inventor
- Shizuo Kakutani
- time of discovery or invention
- 1938-00-00
- maintained by WikiProject
- WikiProject Mathematics
- generalization of
- Brouwer fixed-point theorem
- studied by
- topology
Sources (2)
via Wikidata · CC0
Connections
John Forbes Nash
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simplex
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economics
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International Standard Book Number
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mathematical analysis
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function
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topology
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digital object identifier
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game theory
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Prize in Economic Sciences in Memory of Alfred Nobel
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combinatorics
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sequence
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empty set
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OCLC, Inc.
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PubMed
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Kenneth Arrow
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subset
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Cartesian product
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interval
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continuous function
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