Normal and mixed partial second-order subdifferentials in variational analysis and optimization (Q1670424)
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scientific article; zbMATH DE number 6932287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal and mixed partial second-order subdifferentials in variational analysis and optimization |
scientific article; zbMATH DE number 6932287 |
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Normal and mixed partial second-order subdifferentials in variational analysis and optimization (English)
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5 September 2018
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The authors introduce a partial second-order subdifferential for extended real-valued functions of two variables by means of the coderivatives of the first-order partial subdifferential mappings. Calculus rules and conditions to guarantee the commutativity of the second-order subdifferentiability operation are presented. As an application and at the same time as a generalization of the classical result in the smooth case, the relation between the local minima of a function and the positiveness of the principal minors of its Hessian is proven.
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coderivatives
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second-order subdifferentials
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stability
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strictly differentiable mappings
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variational analysis
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nonsmooth analysis
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0.95893615
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0.8951471
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