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Part of the book series: Ettore Majorana International Science Series ((EMISS,volume 43))

Abstract

Nonsmooth analysis has developed into a widely used tool. The theory of generalized gradients and its associated geometric constructions have in particular seen broad application in optimization and elsewhere. Of late, one of the most active areas of study has been proximal normal analysis. Although the proximal normal concept was actually at the heart of the very first definitions of the generalized gradient and normal cone [5], [6], it was not fully realized until recently how powerful the technique could be.

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© 1989 Springer Science+Business Media New York

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Clarke, F.H. (1989). Applications of Proximal Subgradients. In: Clarke, F.H., Dem’yanov, V.F., Giannessi, F. (eds) Nonsmooth Optimization and Related Topics. Ettore Majorana International Science Series, vol 43. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6019-4_3

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  • DOI: https://doi.org/10.1007/978-1-4757-6019-4_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-6021-7

  • Online ISBN: 978-1-4757-6019-4

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