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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 8, Pages 37–44 (Mi ivm3053)  
This article is cited in 18 scientific papers (total in 18 papers)

Descent method with inexact linesearch procedure for mixed variational inequalities

I. V. Konnov

Chair of System Analysis and Information Technologies, Kazan State University, Kazan, Russia
Full-text PDF (177 kB) Citations (18)
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Abstract: We propose a descent method with respect to a merit function for a mixed variational inequality, involving a general nonlinear mapping and a convex but not necessarily differentiable function. The method utilizes an inexact linesearch procedure. Its convergence is proved under the additional assumptions of continuity and strong monotonicity of the cost mapping.
Keywords: mixed variational inequalities, descent method, inexact linesearch.
Received: 24.05.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 8, Pages 29–35
DOI: https://doi.org/10.3103/S1066369X09080052
Bibliographic databases:
UDC: 519.6
Language: Russian
Citation: I. V. Konnov, “Descent method with inexact linesearch procedure for mixed variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 8, 37–44; Russian Math. (Iz. VUZ), 53:8 (2009), 29–35
Citation in format AMSBIB
\Bibitem{Kon09}
\by I.~V.~Konnov
\paper Descent method with inexact linesearch procedure for mixed variational inequalities
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 8
\pages 37--44
\mathnet{http://mi.mathnet.ru/ivm3053}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2584256}
\zmath{https://zbmath.org/?q=an:1175.49008}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 8
\pages 29--35
\crossref{https://doi.org/10.3103/S1066369X09080052}
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:60
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