Prefer a chat interface with context about you and your work?
A geometric property of convex sets with applications to minimax type inequalities and fixed point theorems
Abstract A geometric property of convex sets which is equivalent to a minimax inequality of the Ky Fan type is formulated. This property is used directly to prove minimax inequalities of the von Neumann type, minimax inequalities of the Fan-Kneser type, and fixed point theorems for inward and outward maps.