Nonlinear separation approach to constrained extremum problems (Q1937011)
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scientific article; zbMATH DE number 6135491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear separation approach to constrained extremum problems |
scientific article; zbMATH DE number 6135491 |
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Nonlinear separation approach to constrained extremum problems (English)
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11 February 2013
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The authors consider optimality conditions for cone-constrained optimization problems. Using Hiriart-Urruty's scalarization function they construct several types (nonlinear weak, nonlinear regular weak, nonlinear strong) of separation functions. By applying these separation functions as well as image space analysis, they obtain necessary and sufficient optimality conditions and a corresponding saddle-point condition.
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image space analysis
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nonlinear (regular) weak separation function
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nonlinear strong separation function
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saddle point
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