Kakutani fixed-point theorem

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What Wikipedia says

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.

Excerpt from the Wikipedia article “Kakutani fixed-point theorem”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

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