Abstract
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 generalized convexity are established in terms of scalarization, Lagrangian multipliers, saddle-point criterion, and duality.
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Chen, G.Y., Rong, W.D. Characterizations of the Benson Proper Efficiency for Nonconvex Vector Optimization. Journal of Optimization Theory and Applications 98, 365–384 (1998). https://doi.org/10.1023/A:1022689517921
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DOI: https://doi.org/10.1023/A:1022689517921