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- 20:49, 10 May 2024 Kennethw talk contribs created page Kakutani's Fixed Point Theorem (Created page with "==Theorem== Let $S \subset \R^n$ be nonempty, compact, and convex and let $\Phi \to 2^{\R^n}$ be a correspondence. If the following conditions are satisfied: $\Phi(x)$ is nonempty and convex for all x. $\Phi(.)$ is upper hemi-continuous. $\Phi$ has a fixed point.") Tag: Visual edit: Switched