Bull. Austral. Math. Soc. 72(3) pp.491--496, 2005.

Lipschitz functions with maximal Clarke subdifferentials are staunch

Jonathan M. Borwein

Xianfu Wang

Received: 5th September, 2005

Research for the first author was supported by NSERC and the CRC programme.
Research for the second author was supported by NSERC.


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 of generic, but also staunch.

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(Metadata: XML, RSS, BibTeX) MathSciNet: MR2199651 Z'blatt-MATH: 1121.49015


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