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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 23–33 (Mi ivm7862)  
This article is cited in 3 scientific papers (total in 3 papers)

An exact penalty method for monotone variational inequalities and order optimal algorithms for finding saddle points

M. Yu. Kokurin

Chair of Mathematical Analysis and Function Theory, Mari State University, Yoshkar-Ola, Russia
Full-text PDF (214 kB) Citations (3)
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Abstract: We consider variational inequalities in a Banach space. We propose an exact penalty method which enables one to refuse functional constraints. The obtained result is used for constructing optimal (in laboriousness) iterative schemes for finding saddle points under functional constraints.
Keywords: variational inequality, monotone operator, Banach space, exact penalty, saddle point, laboriousness.
Received: 07.05.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 8, Pages 19–27
DOI: https://doi.org/10.3103/S1066369X11080044
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: M. Yu. Kokurin, “An exact penalty method for monotone variational inequalities and order optimal algorithms for finding saddle points”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 23–33; Russian Math. (Iz. VUZ), 55:8 (2011), 19–27
Citation in format AMSBIB
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\by M.~Yu.~Kokurin
\paper An exact penalty method for monotone variational inequalities and order optimal algorithms for finding saddle points
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 8
\pages 23--33
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2919344}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 8
\pages 19--27
\crossref{https://doi.org/10.3103/S1066369X11080044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051683076}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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