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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 568–575 (Mi zvmmf479)  
This article is cited in 22 scientific papers (total in 22 papers)

On the convergence of a regularization method for variational inequalities

I. V. Konnov

Kazan State University, ul. Kremlyevskaya 18, Kazan, 420008, Tatarstan, Russia
Full-text PDF (1061 kB) Citations (22)
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Abstract: For variational inequalities in a finite-dimensional space, the convergence of a regularization method is examined in the case of a nonmonotone basic mapping. It is shown that a fairly general sufficient condition for the existence of solutions to the original problem also guarantees the convergence and existence of solutions to perturbed problems. Examples of applications to problems on order intervals are presented.
Key words: variational inequalities, regularization method, nonmonotone mappings, coercivity condition, order monotonicity.
Received: 07.06.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 4, Pages 541–547
DOI: https://doi.org/10.1134/S0965542506040026
Bibliographic databases:
Document Type: Article
UDC: 519.658.4
Language: Russian
Citation: I. V. Konnov, “On the convergence of a regularization method for variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 568–575; Comput. Math. Math. Phys., 46:4 (2006), 541–547
Citation in format AMSBIB
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\by I.~V.~Konnov
\paper On the convergence of a~regularization method for variational inequalities
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 4
\pages 568--575
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2260348}
\zmath{https://zbmath.org/?q=an:05200927}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 4
\pages 541--547
\crossref{https://doi.org/10.1134/S0965542506040026}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746044134}
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    • This publication is cited in the following 22 articles:
    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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