Minimax Theory and its Applications 01 (2016), No. 2, 307--332
Copyright Heldermann Verlag 2016
Multivalued Minimax Relations with Applications
Irene Benedetti
Dept. of Mathematics and Computer Science, University of Perugia, Via Vanvitelli 1, 06123 Perugia, Italy
irene.benedetti@dmi.unipg.it
Anna Martellotti
Dept. of Mathematics and Computer Science, University of Perugia, Via Vanvitelli 1, 06123 Perugia, Italy
anna.martellotti@unipg.it
We prove variational inclusions and matching type results, as well as, minimax inequalities for multivalued maps, relaxing the usual hypotheses of compactness and convexity. We end the discussion adding several applications to variational inequalities, maximization of binary relations and non-cooperative equilibrium for n-person games with discontinuous payoffs.
Keywords: KKM-Theorem, minimax inequalities, fixed point theorems, non cooperative equilibria.
MSC: 62C20, 91A35; 47J22, 58J20
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