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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 256, Pages 6–30 (Mi tm453)  
This article is cited in 22 scientific papers (total in 22 papers)

Necessary Conditions for an Extremum in a Mathematical Programming Problem

E. R. Avakova, A. V. Arutyunovb, A. F. Izmailovc

a Institute of Control Sciences, Russian Academy of Sciences
b Peoples Friendship University of Russia
c M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (312 kB) Citations (22)
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Abstract: For minimization problems with equality and inequality constraints, first- and second-order necessary conditions for a local extremum are presented. These conditions apply when the constraints do not satisfy the traditional regularity assumptions. The approach is based on the concept of 2-regularity; it unites and generalizes the authors' previous studies based on this concept.
Received in July 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 256, Pages 2–25
DOI: https://doi.org/10.1134/S0081543807010014
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Necessary Conditions for an Extremum in a Mathematical Programming Problem”, Dynamical systems and optimization, Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov, Trudy Mat. Inst. Steklova, 256, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 6–30; Proc. Steklov Inst. Math., 256 (2007), 2–25
Citation in format AMSBIB
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\by E.~R.~Avakov, A.~V.~Arutyunov, A.~F.~Izmailov
\paper Necessary Conditions for an Extremum in a Mathematical Programming Problem
\inbook Dynamical systems and optimization
\bookinfo Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 256
\pages 6--30
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm453}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 256
\pages 2--25
\crossref{https://doi.org/10.1134/S0081543807010014}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248392645}
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    • This publication is cited in the following 22 articles:
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