On strong \((\alpha ,\mathbb F)\)-convexity (Q2885346)
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scientific article; zbMATH DE number 6037636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On strong \((\alpha ,\mathbb F)\)-convexity |
scientific article; zbMATH DE number 6037636 |
Statements
23 May 2012
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strong convexity
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\(\alpha\)-convexity
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On strong \((\alpha ,\mathbb F)\)-convexity (English)
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The characterization of strong \((\alpha, \mathbb{F})\)-convexity, where \(\mathbb{F}\) is a subfield of \(\mathbb{R}\), is obtained by using the notion of \(\mathbb{F}\)-directionally differentiable function and \(\mathbb{F}\)-sublinear map. Moreover, the properties of the \(\mathbb{F}\)-subdifferential of strongly \((\alpha, \mathbb{F})\)-convex function are given.
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