Optimality conditions for proper efficient solutions of vector set-valued optimization. (Q1406539)
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scientific article; zbMATH DE number 1974976
| Language | Label | Description | Also known as |
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| English | Optimality conditions for proper efficient solutions of vector set-valued optimization. |
scientific article; zbMATH DE number 1974976 |
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Optimality conditions for proper efficient solutions of vector set-valued optimization. (English)
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4 September 2003
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Based on a set-valued definition of epiderivatives suggested by \textit{J. Song, H. B. Dong} and \textit{X.H. Gong}, Proper efficiency in vector set-valued optimization problem, J. Nanchang Univ. 25, 122--130 (2001)], necessary and sufficient optimality conditions for vector set-valued optimization problems with set-valued constraints are presented. This includes necessary and sufficient conditions for Henig efficiency, proper efficiency, \(f\)-efficiency and strong efficiency, respectively.
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set-valued vector optimization
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proper efficiency
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epiderivative
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optimality condition
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