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Quasidifferentiable mappings and the differentiability of maximum functions

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Quasidifferential Calculus

Part of the book series: Mathematical Programming Studies ((MATHPROGRAMM,volume 29))

Abstract

In this paper the author discusses what is meant by a derivative of set-valued mappings, and generalizes some existing definitions. The problem of the differentiability of maximum functions is taken as an example.

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Author information

Authors and Affiliations

  1. Institute for Social and Economic Problems, USSR Academy of Sciences, ul. Voinova 50-a, 198015, Leningrad, USSR

    N. A. Pecherskaya

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  1. N. A. Pecherskaya
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Editor information

V. F. Demyanov L. C. W. Dixon

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© 1986 The Mathematical Programming Society, Inc.

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Pecherskaya, N.A. (1986). Quasidifferentiable mappings and the differentiability of maximum functions. In: Demyanov, V.F., Dixon, L.C.W. (eds) Quasidifferential Calculus. Mathematical Programming Studies, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0121144

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  • DOI: https://doi.org/10.1007/BFb0121144

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00928-0

  • Online ISBN: 978-3-642-00929-7

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