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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 2, Pages 189–196 (Mi zvmmf327)  
This article is cited in 27 scientific papers (total in 27 papers)

First-order methods for certain quasi-variational inequalities in a Hilbert space

I. P. Ryazantseva

Nizhni Novgorod State Technical University, ul. Minina 24, Nizhni Novgorod, 603600, Russia
Full-text PDF (985 kB) Citations (27)
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Abstract: Sufficient conditions are obtained for quasi-variational inequalities of a special type with nonlinear operators in a Hilbert space to be uniquely solvable. A first-order continuous method and its discrete variant are constructed for inequalities of this kind. The strong convergence of these methods is proved.
Key words: quasi-variational inequalities, first-order continuous method, iterative method.
Received: 07.06.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 2, Pages 183–190
DOI: https://doi.org/10.1134/S0965542507020030
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: I. P. Ryazantseva, “First-order methods for certain quasi-variational inequalities in a Hilbert space”, Zh. Vychisl. Mat. Mat. Fiz., 47:2 (2007), 189–196; Comput. Math. Math. Phys., 47:2 (2007), 183–190
Citation in format AMSBIB
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\by I.~P.~Ryazantseva
\paper First-order methods for certain quasi-variational inequalities in a~Hilbert space
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 2
\pages 189--196
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2351810}
\zmath{https://zbmath.org/?q=an:05200973}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 2
\pages 183--190
\crossref{https://doi.org/10.1134/S0965542507020030}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947121112}
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  • https://www.mathnet.ru/eng/zvmmf/v47/i2/p189
    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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