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Strong vector equilibrium problems. (English) Zbl 1120.90055
Summary: In this paper, the existence of the solution for strong vector equilibrium problems is studied by using the separation theorem for convex sets. The arc-wise connectedness and the closedness of the strong solution set for vector equilibrium problems are discussed; and a necessary and sufficient condition for the strong solution is obtained.
MSC:
90C29Multi-objective programming; goal programming
90C46Optimality conditions, duality
91A40Game-theoretic models
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