Globally proper saddle point in ic-cone-convexlike set-valued optimization problems |
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Authors: | Guo Lin Yu San Yang Liu |
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Institution: | (3) Dept. Applied Math., Via Bonanno 25/B, 56126 Pisa, Italy |
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Abstract: | The existence conditions of globally proper efficient points and a useful property of iccone-convexlike set-valued maps are
obtained. Under the assumption of the ic-cone-convexlikeness, the optimality conditions for globally proper efficient solutions
are established in terms of Lagrange multipliers. The new concept of globally proper saddle-point for an appropriate set-valued
Lagrange map is introduced and used to characterize the globally proper efficient solutions. The results which are obtained
in this paper are proven under the conditions that the ordering cone need not to have a nonempty interior. |
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Keywords: | set-valued map ic-cone-convexlikeness globally proper efficiency saddle point |
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