Source: wikibot/kakutani-fixed-point-theorem
= Kakutani fixed-point theorem
{wiki=Kakutani_fixed-point_theorem}
The Kakutani Fixed-Point Theorem is an important result in the field of mathematical analysis and game theory, particularly in the study of convex sets and continuous functions. It generalizes the Brouwer Fixed-Point Theorem, which is applicable in Euclidean spaces, to more complex scenarios involving multi-valued functions.