Optimality and duality in nonsmooth semi-infinite optimization, using a weak constraint qualification (Q2105868)
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scientific article; zbMATH DE number 7629796
| Language | Label | Description | Also known as |
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| English | Optimality and duality in nonsmooth semi-infinite optimization, using a weak constraint qualification |
scientific article; zbMATH DE number 7629796 |
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Optimality and duality in nonsmooth semi-infinite optimization, using a weak constraint qualification (English)
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8 December 2022
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In this paper the authors consider a nonsmooth multiobjective semi-infinite programming (MOSIP) problem with a feasible set defined by inequality constraint. They introduce the weak Slater constraint qualification and derive the Karush-Kuhn-Tucker types necessary and sufficient conditions for (weakly, properly) efficient solution of MOSIP. Also, they introduce two duals of Mond-Weir type for the problem (MOSIP) and present (weak and strong) duality results for them. All results are given in terms of Clarke subdifferential.
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semi-infinite programming
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multiobjective optimization
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constraint qualification
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optimality conditions
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