Cone arcwise connectivity in optimization problems with difference of set-valued mappings (Q6642750)
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scientific article; zbMATH DE number 7948870
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cone arcwise connectivity in optimization problems with difference of set-valued mappings |
scientific article; zbMATH DE number 7948870 |
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Cone arcwise connectivity in optimization problems with difference of set-valued mappings (English)
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25 November 2024
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Sufficient Karush-Kuhn-Tucker type optimality conditions are provided for nonsmooth set-valued optimization problems where both the objective and the constraints are differences of set-valued maps. Weak, converse, and strong duality statements for the associated Wolfe type dual problems are provided, too. Some special cases are discussed as well.
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convex cone
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contingent epi-derivative
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set-valued mapping
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duality
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\(\rho\) cone arcwise connectivity
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