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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 4, Pages 650–660 (Mi zvmmf669)  
This article is cited in 2 scientific papers (total in 2 papers)

A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set

A. S. Antipina, F. P. Vasil'evb, S. V. Shpirkoa

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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Abstract: Unstable equilibrium problems are examined in which the objective function and the set where the equilibrium point is sought are inexactly specified. A regularized gradient-type method is proposed for solving such problems, and its convergence is analyzed. A regularizing operator is constructed.
Key words: equilibrium programming, extragradient method, regularization.
Received: 26.11.2004
Bibliographic databases:
Document Type: Article
UDC: 519.6:519.853.6
Language: Russian
Citation: A. S. Antipin, F. P. Vasil'ev, S. V. Shpirko, “A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set”, Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005), 650–660; Comput. Math. Math. Phys., 45:4 (2005), 626–636
Citation in format AMSBIB
\Bibitem{AntVasShp05}
\by A.~S.~Antipin, F.~P.~Vasil'ev, S.~V.~Shpirko
\paper A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 4
\pages 650--660
\mathnet{http://mi.mathnet.ru/zvmmf669}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2162708}
\zmath{https://zbmath.org/?q=an:1082.90139}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 4
\pages 626--636
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:68
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