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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 3, Pages 355–364 (Mi zvmmf162)  
This article is cited in 5 scientific papers (total in 5 papers)

Partial regularization method for nonmonotone variational inequalities

D. A. Dyabilkin, I. V. Konnov

Faculty of Computational Mathematics and Cybernetics, Kazan State University, ul. Kremlevskaya 18, Kazan, 420008, Tatarstan, Russi
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Abstract: A variational inequality with a nonmonotone mapping is considered in a Euclidean space. A regularization method with respect to some of the variables is proposed for its solution. The convergence of the method is proved under a coercivity-type condition. The method is applied to an implicit optimization problem with an arbitrary perturbing mapping. The solution technique combines partial regularization and the dual descent method.
Key words: nonmonotone variational inequalities, partial regularization method, proof of convergence.
Received: 14.05.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 3, Pages 337–345
DOI: https://doi.org/10.1007/s11470-008-3001-3
Bibliographic databases:
Document Type: Article
UDC: 519.658.4
Language: Russian
Citation: D. A. Dyabilkin, I. V. Konnov, “Partial regularization method for nonmonotone variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008), 355–364; Comput. Math. Math. Phys., 48:3 (2008), 337–345
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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