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The \(p\)th-order Karush-Kuhn-Tucker type optimality conditions for nonregular inequality constrained optimization problems - MaRDI portal

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The \(p\)th-order Karush-Kuhn-Tucker type optimality conditions for nonregular inequality constrained optimization problems (Q6588727)

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scientific article; zbMATH DE number 7897905
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English
The \(p\)th-order Karush-Kuhn-Tucker type optimality conditions for nonregular inequality constrained optimization problems
scientific article; zbMATH DE number 7897905

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    The \(p\)th-order Karush-Kuhn-Tucker type optimality conditions for nonregular inequality constrained optimization problems (English)
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    16 August 2024
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    Necessary and sufficient optimality conditions of Karush-Kuhn-Tucker type are provided for characterizing optimal solutions to optimization problems with inequality constraints in finite dimensional spaces, when the classical constraint qualifications are not satisfied. New regularity conditions to guarantee the desired outcome are proposed by means of \(p\)-factor operators.\N\NFor the entire collection see [Zbl 1543.90002].
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    nonregular problems
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    constrained optimization
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    optimality conditions
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    \(p\)-regularity
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