Generalization of the concept of \(p\)-regularity and higher order optimality conditions. (Q1852520)
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scientific article; zbMATH DE number 1849234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of the concept of \(p\)-regularity and higher order optimality conditions. |
scientific article; zbMATH DE number 1849234 |
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Generalization of the concept of \(p\)-regularity and higher order optimality conditions. (English)
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26 June 2003
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This paper is devoted to generalization of the concept of \(p\)-regularity based on the technique of factor operators. Optimality conditions for a new class of problems are formulated and proved. For the first time, these conditions require that the gradient of the objective function belong to an open set, even though the geometry of the problem is closed.
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\(p\)-regularity
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mapping
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factor operator
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optimality conditions
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degeneracy
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minimum
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tangential cone
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