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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 1, Pages 27–40 (Mi zvmmf717)  
This article is cited in 12 scientific papers (total in 12 papers)

Regularization methods for solving equilibrium programming problems with coupled constraints

A. S. Antipina, F. P. Vasil'evb

a Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
b Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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Abstract: Regularization methods (stabilization, residual, and quasi-solution) for solving unstable equilibrium problems are proposed for the case when not only the objective function but also the set determined by coupled inequality constraints are given approximately. The convergence of the proposed methods is investigated, and a regularizing operator is constructed.
Key words: equilibrium programming problems, numerical regularization method, unstable problems.
Received: 24.06.2004
Bibliographic databases:
Document Type: Article
UDC: 519.853.6
Language: Russian
Citation: A. S. Antipin, F. P. Vasil'ev, “Regularization methods for solving equilibrium programming problems with coupled constraints”, Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005), 27–40; Comput. Math. Math. Phys., 45:1 (2005), 23–36
Citation in format AMSBIB
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\by A.~S.~Antipin, F.~P.~Vasil'ev
\paper Regularization methods for solving equilibrium programming problems with coupled constraints
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 1
\pages 27--40
\mathnet{http://mi.mathnet.ru/zvmmf717}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2151043}
\zmath{https://zbmath.org/?q=an:1114.90150}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 1
\pages 23--36
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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