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Izvestiya: Mathematics, 2001, Volume 65, Issue 1, Pages 99–121
DOI: https://doi.org/10.1070/im2001v065n01ABEH000323
(Mi im323)
 

This article is cited in 11 scientific papers (total in 11 papers)

The subdifferential and the directional derivatives of the maximum of a family of convex functions. II

V. N. Solov'ev

M. V. Lomonosov Moscow State University
References:
Abstract: The paper deals with calculating the directional derivatives and the subdifferential of the maximum of convex functions with no compactness conditions on the indexing set. We apply our results to the problems of minimax theory in which the Lagrange function is not assumed to be concave. We also apply these results to the duality theory of non-convex extremum problems, and strengthen earlier results of Yakubovich, Matveev and the author. We illustrate our results by investigating a problem of optimal design of experiments.
Received: 29.09.1999
Bibliographic databases:
Language: English
Original paper language: Russian
Citation: V. N. Solov'ev, “The subdifferential and the directional derivatives of the maximum of a family of convex functions. II”, Izv. Math., 65:1 (2001), 99–121
Citation in format AMSBIB
\Bibitem{Sol01}
\by V.~N.~Solov'ev
\paper The subdifferential and the directional derivatives of the maximum of a~family of convex functions.~II
\jour Izv. Math.
\yr 2001
\vol 65
\issue 1
\pages 99--121
\mathnet{http://mi.mathnet.ru//eng/im323}
\crossref{https://doi.org/10.1070/im2001v065n01ABEH000323}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1829407}
\zmath{https://zbmath.org/?q=an:1017.49020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747103818}
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  • https://doi.org/10.1070/im2001v065n01ABEH000323
  • https://www.mathnet.ru/eng/im/v65/i1/p107
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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