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Proximal Analysis in Smooth Spaces

Borwein, Jonathan M. and Ioffe, Alexander (1996) Proximal Analysis in Smooth Spaces. Set-Valued Analysis, 4 (1). pp. 1-24. ISSN 0927-6947

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      Abstract

      We provide a highly--refined sequential description of the generalized gradients of Clarke and approximate $G$--subdifferential of a lower semicontinuous extended--real--valued function defined on a Banach space with a ${\beta}$--smooth equivalent renorm. In the case of a Frech\`{e}t differentiable renorm we give a corresponding result for the corresponding singular objects.

      Item Type: Article
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: Lipschitz functions, lower semi-continuous functions, subderivatives, variational principles, distance functions, tangent cones, normals, smooth renorms, Clarke subdifferentials, G-subdifferentials
      Subjects: 49-xx Calculus of variations and optimal control; optimization > 49Jxx Existence theories
      58-xx Global analysis, analysis on manifolds > 58Cxx Calculus on manifolds; nonlinear operators
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 16 Nov 2003
      Last Modified: 08 Sep 2014 09:15
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/61

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