Generalization of \(C^{1,1}\) property in infinite dimension (Q300661)
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scientific article; zbMATH DE number 6599177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalization of \(C^{1,1}\) property in infinite dimension |
scientific article; zbMATH DE number 6599177 |
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Generalization of \(C^{1,1}\) property in infinite dimension (English)
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28 June 2016
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The authors consider the generalization of \(C^{1,1}\) property, which leads to the class of \(\ell\)-stable functions. Two formally different definitions of \(\ell\)-stability in infinite dimension are studied. In addition, the authors show that the considered two definitions of \(\ell\)-stability are equivalent.
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\(C^{1,1}\)-function
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\(\ell\)-stable function
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generalized second-order directional derivative
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Dini derivative
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