Characterizations of the Benson Proper Efficiency for Nonconvex Vector Optimization |
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| Authors: | Chen G. Y. Rong W. D. |
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| Affiliation: | (1) Institute of Systems Science, Academia Sinica, Beijing, China;(2) Department of Mathematics, Inner Mongolia University, Hohhot, Inner Mongolia, China |
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| 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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| Keywords: | Generalized cone-subconvexlikeness vector optimization proper efficiency scalarization Lagrangian multipliers saddle-point criterion duality |
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