Fréchet differentiability of Lipschitz functions via a variational principle (Q967461)
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scientific article; zbMATH DE number 5702771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fréchet differentiability of Lipschitz functions via a variational principle |
scientific article; zbMATH DE number 5702771 |
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Fréchet differentiability of Lipschitz functions via a variational principle (English)
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29 April 2010
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Summary: We prove a new variational principle which in particular does not assume the completeness of the domain. As an application we give a new, more natural, proof of the fact that a real valued Lipschitz function on an Asplund space has points of Fréchet differentiability.
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Fréchet differentiability
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Lipschitz functions
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variational principle
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Asplund space
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mean value theorem
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\((d,d_{0})\)-complete metric space
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cone monotone functions
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