SEPARABLE CONDITIONS AND SCALARIZATION OF BENSON PROPER EFFICIENCY |
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| Authors: | Qiu Jinghui Hao Yuan Wang Cui |
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| Institution: | Department of Mathematics, Suzhou University, Suzhou 215006, China |
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| Abstract: | Under the assumption that the ordering cone has a nonempty interior and is separable (or the feasible set has a nonempty interior and is separable), we give scalarization theorems on Benson proper efficiency. Applying the results to vector optimization problems with nearly cone-subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier theorems for Benson proper efficient solutions. |
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| Keywords: | Locally convex space nearly cone-subconvexlike set-valued map Benson proper efficiency scalarization |
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