
Minimax Theory and its Applications 01 (2016), No. 1, 145161 Copyright Heldermann Verlag 2016 Characterizations of Vector Equilibria Subject to Explicit Constraints Adela Capata Dept. of Mathematics, Technical University, Str. Memorandumului 28, 400114 ClujNapoca, Romania adela.capata@math.utcluj.ro Gábor Kassay Faculty of Mathematics and Computer Science, BabesBolyai University, Str. M. Kogalniceanu 1, 400084 ClujNapoca, Romania kassay@math.ubbcluj.ro We investigate weak vector equilibrium problems subject to explicit constraints and provide necessary and sufficient conditions for the existence of their solutions. Two different approaches are used by means of two separation results. As a byproduct, we deduce sufficient conditions for the existence of weak saddle points for generalized Nash twoperson noncooperative games, where the payoff function is vectorvalued. Our results recover earlier statements from the literature. Keywords: Equilibrium problems, optimality conditions, separation theorem, cone constraints. MSC: 49K35, 90C46 [ Fulltextpdf (167 KB)] for subscribers only. 