Abstract
Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearly cone-subconvexlikeness, a Lagrangian multiplier theorem on Benson proper efficiency is presented. Related results are generalized.
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Supported by the National Natural Science Foundation of China (69972036).
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Xu, Y., Liu, S. Benson proper efficiency in the nearly cone-subconvexlike vector optimization with set-valued functions. Appl. Math. Chin. Univ. 18, 95–102 (2003). https://doi.org/10.1007/s11766-003-0089-z
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DOI: https://doi.org/10.1007/s11766-003-0089-z