On inverse function theorems for set-valued maps (Q1101927)
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scientific article; zbMATH DE number 4048391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On inverse function theorems for set-valued maps |
scientific article; zbMATH DE number 4048391 |
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On inverse function theorems for set-valued maps (English)
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1987
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The authors state an inverse function theorem for multifunctions defined on a Banach space with values in a finite dimensional space. The main tools in proving it are Ekeland's variational principle and Robinson- Ursescu's theorem. Then there are given applications to nonsmooth optimization and to local controllability for differential inclusions.
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inverse function theorem for multifunctions defined on a Banach space with values in a finite dimensional space
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Ekeland's variational principle
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Robinson-Ursescu's theorem
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nonsmooth optimization
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local controllability for differential inclusions
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