Optimality conditions for weak and firm efficiency in set-valued optimization (Q929583)
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scientific article; zbMATH DE number 5289206
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimality conditions for weak and firm efficiency in set-valued optimization |
scientific article; zbMATH DE number 5289206 |
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Optimality conditions for weak and firm efficiency in set-valued optimization (English)
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17 June 2008
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This paper concerns the study of weak and firm efficiency in constrained mathematical problems governed by set-valued mappings. It is derived necessary (respectively sufficient) first and second-order optimality conditions for weak (respectively firm) efficiency by means of the Bouligand derivative, and in case of firm efficiency, the Mordukhovich coderivative is employed to get necessary optimality conditions.
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set-valued optimization
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weak efficiency
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firm efficiency
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Bouligand derivative
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Mordukhovich coderivative
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