Characterizations of Vector Equilibria Subject to Explicit Constraints
Keywords:
Vector equilibrium problems, optimality conditions, separation theorem, cone con straints.Abstract
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 two-person noncooperative games, where the payoff function is vector-valued. Our results recover earlier statements from the literature
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