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Trudy Inst. Mat. i Mekh. UrO RAN, 2006, Volume 12, Number 1, Pages 48–63 (Mi timm133)  

This article is cited in 1 scientific paper (total in 1 paper)

Methods for solving unstable equilibrium programming problems with coupled variables

F. P. Vasil'ev, A. S. Antipin


Abstract: Regularization (stabilization, residual and quasisolution) methods for solving an unstable equilibrium programming problem are proposed for the case when not only the objective function but also the set determined by coupled inequality constraints are given inexactly. The convergence of these methods is studied. A regularizing operator is constructed.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2006, 253, suppl. 1, S229–S246

Bibliographic databases:

UDC: 517.988.68
Received: 25.12.2005

Citation: F. P. Vasil'ev, A. S. Antipin, “Methods for solving unstable equilibrium programming problems with coupled variables”, Dynamical systems: modeling, optimization, and control, Trudy Inst. Mat. i Mekh. UrO RAN, 12, no. 1, 2006, 48–63; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S229–S246

Citation in format AMSBIB
\Bibitem{VasAnt06}
\by F.~P.~Vasil'ev, A.~S.~Antipin
\paper Methods for solving unstable equilibrium programming problems with coupled variables
\inbook Dynamical systems: modeling, optimization, and control
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2006
\vol 12
\issue 1
\pages 48--63
\mathnet{http://mi.mathnet.ru/timm133}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2247238}
\zmath{https://zbmath.org/?q=an:05203148}
\elib{http://elibrary.ru/item.asp?id=12040718}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2006
\vol 253
\issue , suppl. 1
\pages S229--S246
\crossref{https://doi.org/10.1134/S0081543806050178}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746907507}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. S. Antipin, “Multicriteria equilibrium programming: Extraproximal methods”, Comput. Math. Math. Phys., 47:12 (2007), 1912–1927  mathnet  crossref  mathscinet
  • Trudy Instituta Matematiki i Mekhaniki UrO RAN
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