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Lipschitz functions with maximal Clarke subdifferentials are staunch

Borwein, Jonathan M. and Wang, Shawn Xianfu (2005) Lipschitz functions with maximal Clarke subdifferentials are staunch. Bull. Aust. Math. Soc., 72 . pp. 491-496.

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    Abstract

    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.

    Item Type: Article
    Additional Information: pubdom TRUE
    Uncontrolled Keywords: Separable Banach spaces, non-expansive function, Clarke subdifferential, complete metric space, porous set, first category set
    Subjects: 49-xx Calculus of variations and optimal control; optimization > 49Jxx Existence theories
    Faculty: UNSPECIFIED
    Depositing User: Users 1 not found.
    Date Deposited: 15 Sep 2005
    Last Modified: 12 Jan 2015 14:18
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/302

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