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Zh. Vychisl. Mat. Mat. Fiz., 2005, Volume 45, Number 11, Pages 1954–1962 (Mi zvmmf564)  

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

Regularized first-order methods for monotone variational inequalities with generalized projection operators

I. P. Ryazantseva

Nizhni Novgorod State Technical University, ul. Minina 24, Nizhni Novgorod, 603600, Russia

Abstract: For a certain class of Banach spaces, variational inequalities with monotone operators are examined under the assumption that the data are given approximately. Regularized first-order methods (a continuous and an iterative one) are constructed in the form of equations containing generalized projection operators. Sufficient conditions are obtained for the strong convergence of these methods to the normal solution of the original problem.

Key words: monotone variational inequalities, generalized projection operator.

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English version:
Computational Mathematics and Mathematical Physics, 2005, 45:11, 1879–1887

Bibliographic databases:
UDC: 519.642.8
Received: 18.04.2005

Citation: I. P. Ryazantseva, “Regularized first-order methods for monotone variational inequalities with generalized projection operators”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 1954–1962; Comput. Math. Math. Phys., 45:11 (2005), 1879–1887

Citation in format AMSBIB
\Bibitem{Rya05}
\by I.~P.~Ryazantseva
\paper Regularized first-order methods for monotone variational inequalities with generalized projection operators
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 11
\pages 1954--1962
\mathnet{http://mi.mathnet.ru/zvmmf564}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2203220}
\zmath{https://zbmath.org/?q=an:1107.47051}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 11
\pages 1879--1887


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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. I. P. Ryazantseva, “First-order continuous regularization methods for generalized variational inequalities”, Comput. Math. Math. Phys., 50:4 (2010), 606–619  mathnet  crossref  mathscinet  adsnasa  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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