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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 7, Pages 1184–1194 (Mi zvmmf437)  
This article is cited in 2 scientific papers (total in 2 papers)

A first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space

I. P. Ryazantseva

Nizhni Novgorod State Technical University, ul. Minina 24, Nizhni Novgorod, 603600, Russia
Full-text PDF (1295 kB) Citations (2)
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Abstract: The concept of a generalized projection operator onto a convex closed subset of a Banach space is modified. This operator is used to construct a first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space. Sufficient conditions for the convergence of the method are found.
Key words: monotone variational inequalities in a Banach space, first-order continuous method.
Received: 14.12.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 7, Pages 1121–1131
DOI: https://doi.org/10.1134/S0965542506070037
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: I. P. Ryazantseva, “A first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space”, Zh. Vychisl. Mat. Mat. Fiz., 46:7 (2006), 1184–1194; Comput. Math. Math. Phys., 46:7 (2006), 1121–1131
Citation in format AMSBIB
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\by I.~P.~Ryazantseva
\paper A~first-order continuous method for the Antipin regularization of monotone variational inequalities in a~Banach space
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 7
\pages 1184--1194
\mathnet{http://mi.mathnet.ru/zvmmf437}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2500175}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 7
\pages 1121--1131
\crossref{https://doi.org/10.1134/S0965542506070037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746727586}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf437
  • https://www.mathnet.ru/eng/zvmmf/v46/i7/p1184
    • This publication is cited in the following 2 articles:
    1. Ryazantseva I.P., “On Continuous First-Order Methods and their Regularized Versions for Mixed Variational Inequalities”, Differ. Equ., 48:7 (2012), 1005–1017  crossref  mathscinet  mathscinet  zmath  isi  elib  elib  scopus
    2. 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
    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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    Abstract page:412
    Full-text PDF :156
    References:77
    First page:1
     
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