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