Second-order optimality conditions for set-valued optimization problems under Benson proper efficiency (Q657123)
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scientific article; zbMATH DE number 5997796
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Second-order optimality conditions for set-valued optimization problems under Benson proper efficiency |
scientific article; zbMATH DE number 5997796 |
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Second-order optimality conditions for set-valued optimization problems under Benson proper efficiency (English)
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16 January 2012
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Summary: Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems. The results obtained improve the corresponding results in the literature.
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generalized second-order contingent (adjacent) epiderivatives
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set-valued maps
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necessary and sufficient conditions of Benson proper efficient solutions
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set-valued optimization problems
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