Minimax type theorems forn-valued functions

Summary We consider inRⁿthe ordering induced by a cone and give suitable definitions of Sup, Inf,convexity and lower semicontinuity relative to n-valued functions: in this framework we can prove minimax theorems for such a class of functions.This work was partially supported by Istituto per la Matematica Applicata del C.N.R. (Genova).