Positive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problems (Q1949495)
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scientific article; zbMATH DE number 6161361
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problems |
scientific article; zbMATH DE number 6161361 |
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Positive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problems (English)
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8 May 2013
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Summary: We obtain a new Taylor formula in terms of the \(k + 1\) order subdifferential of a \(C^{k,1}\) function from \(\mathbb{R}^n\) to \(\mathbb{R}^m\). As its applications in optimization problems, we build \(k + 1\) order sufficient optimality conditions of this kind of functions and \(k + 1\) order necessary conditions for strongly \(C\)-quasiconvex functions.
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Taylor formula
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\(C^{k,1}\) function
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\(C\)-quasiconvex functions
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0.89500505
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0.8851084
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0.88215774
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0.87725234
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0.8753272
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0.8742374
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