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Russian Mathematical Surveys, 1971, Volume 26, Issue 3, Pages 57–115
DOI: https://doi.org/10.1070/RM1971v026n03ABEH003834
(Mi rm5198)
 

This article is cited in 15 scientific papers (total in 15 papers)

On the theory of non-linear minimax problems

V. F. Dem'yanov, V. N. Malozemov
References:
Abstract: This article is a survey of recent results on non-linear minimax problems. The following questions are considered: the directional differentiability of the maximum function; necessary conditions for a minimax and their geometrical interpretation; sufficient conditions for a local minimax; methods of successive approximation to find the stationary points of the maximum function; properties of the maximin function.
These questions are set out first of all for the discrete case (Ch. I) and then for the general case (Ch. II); in the first chapter the accent is on methods of successive approximation, while in the second it is on the tie-up between the theory, as it has evolved, and certain classical results.
Received: 16.01.1970
Bibliographic databases:
Document Type: Article
UDC: 517.948+519.9
Language: English
Original paper language: Russian
Citation: V. F. Dem'yanov, V. N. Malozemov, “On the theory of non-linear minimax problems”, Russian Math. Surveys, 26:3 (1971), 57–115
Citation in format AMSBIB
\Bibitem{DemMal71}
\by V.~F.~Dem'yanov, V.~N.~Malozemov
\paper On the theory of non-linear minimax problems
\jour Russian Math. Surveys
\yr 1971
\vol 26
\issue 3
\pages 57--115
\mathnet{http://mi.mathnet.ru//eng/rm5198}
\crossref{https://doi.org/10.1070/RM1971v026n03ABEH003834}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=297378}
\zmath{https://zbmath.org/?q=an:0216.42501}
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  • https://doi.org/10.1070/RM1971v026n03ABEH003834
  • https://www.mathnet.ru/eng/rm/v26/i3/p53
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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