On higher-order sensitivity analysis in nonsmooth vector optimization (Q467447)
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scientific article; zbMATH DE number 6363587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On higher-order sensitivity analysis in nonsmooth vector optimization |
scientific article; zbMATH DE number 6363587 |
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On higher-order sensitivity analysis in nonsmooth vector optimization (English)
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3 November 2014
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This paper introduces the notion of a higher-order radial-contingent derivative of a set-valued map along with some calculus rules. Afterwards, they are used to develop a sensitivity analysis for nonsmooth vector optimization. Some optimality conditions for various kinds of solutions are also established. Furthermore, properties of higher-order contingent-type derivatives of the perturbation and weak perturbation maps of a parameterized optimzation problem are obtained.
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sensitivity
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higher-order radial-contingent derivative
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higher-order contingent-type derivative
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set-valued vector optimization
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perturbation map
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weak perturbation map
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