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Lipschitz functions with maximal Clarke subdifferentials are staunch
Published online by Cambridge University Press: 17 April 2009
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In a recent paper we have shown that most non-expansive Lipschitz functions (in the sense of Baire's category) have a maximal Clarke subdifferential. In the present paper, we show that in a separable Banach space the set of non-expansive Lipschitz functions with a maximal Clarke subdifferential is not only generic, but also staunch in the space of non-expansive functions.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 72 , Issue 3 , December 2005 , pp. 491 - 496
- Copyright
- Copyright © Australian Mathematical Society 2005
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