Optimality conditions in vector optimization problems with a nonsolid cone of positive elements (Q2836615)
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scientific article; zbMATH DE number 6183470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimality conditions in vector optimization problems with a nonsolid cone of positive elements |
scientific article; zbMATH DE number 6183470 |
Statements
3 July 2013
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Banach spaces
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vector optimization problems
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scalarization method
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regularity conditions
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Lagrange multipliers
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Optimality conditions in vector optimization problems with a nonsolid cone of positive elements (English)
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The vector optimization problem is reduced to system of scalar inequality and operator equality. Then methods of variational analysis (convex and nonsmooth) are applied to finding the optimality conditions. Tangential vectors of the first and the second order are used as local approximations.
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