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Characterizations of the Benson proper efficiency for nonconvex vector optimization. (English) Zbl 0908.90225

Summary: Under generalized cone-subconvexlikeness for vector-valued mappings in locally-convex Hausdorff topological vector spaces, a Gordan-form alternative theorem is derived. Some characterizations of the Benson proper efficiency under this general convexity are established in terms of scalarization, Lagrangian multipliers, saddle-point criterion, and duality.

MSC:

90C29 Multi-objective and goal programming
90C48 Programming in abstract spaces
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