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Lipschitz functions with minimal Clarke subdifferential mappings

Borwein, Jonathan M. and Moors, Warren B. (1996) Lipschitz functions with minimal Clarke subdifferential mappings. In: Proc. Optimization Miniconference III, B. M. Glover and D. Ralph eds, University of Melbourne, July 1996, University of Ballarat.

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      Abstract

      In this paper we characterise, in terms of the upper Dini derivative, when the Clarke subdifferential mapping of a real-valued locally Lipschitz function is a minimal weak$^*$ cusco. We then use this characterisation to deduce some new results concerning Lipschitz functions with minimal subdifferential mappings.

      Item Type: Conference or Workshop Item (Paper)
      Additional Information: pubdom FALSE
      Subjects: 46-xx Functional analysis > 46Axx Topological linear spaces and related structures
      46-xx Functional analysis > 46Bxx Normed linear spaces and Banach spaces; Banach lattices
      52-xx Convex and discrete geometry > 52Axx General convexity
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 25 Nov 2003
      Last Modified: 24 Jul 2015 11:44
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/178

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