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Zbl 1120.90055
Gong, Xunhua
Strong vector equilibrium problems. (English)
[J] J. Glob. Optim. 36, No. 3, 339-349 (2006). ISSN 0925-5001; ISSN 1573-2916/e

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 2000:
*90C29 Multi-objective programming, etc.
90C46 Optimality conditions, duality
91A40 Game-theoretic models

Keywords: Vector equilibrium problem; Strong solution; Arc-wise connectedness; Closedness; Necessary and sufficient condition

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