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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 7, Pages 52–61 (Mi ivm8810)  
This article is cited in 1 scientific paper (total in 1 paper)

Iterative processes of the second order monotone inclusions in a Hilbert space

I. P. Ryazantseva

Chair of Applied Mathematics, Nizhny Novgorod Technical University, 24 Minina str., Nizhny Novgorod, 603155 Russia
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Abstract: We study equations with multiple-valued operators in a Hilbert space. We understand their solutions in the sense of inclusion. We reduce such equations to mixed variational inequalities or to equations with single-valued operators. For constructed problems we propose implicit iterative processes of the second order and establish sufficient conditions for their strong convergence.
Keywords: monotone operator, convex functional, inversely strongly monotone operator, resolvent, mixed variational inequality, iterative method.
Received: 13.04.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 7, Pages 45–52
DOI: https://doi.org/10.3103/S1066369X13070050
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: I. P. Ryazantseva, “Iterative processes of the second order monotone inclusions in a Hilbert space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7, 52–61; Russian Math. (Iz. VUZ), 57:7 (2013), 45–52
Citation in format AMSBIB
\Bibitem{Rya13}
\by I.~P.~Ryazantseva
\paper Iterative processes of the second order monotone inclusions in a~Hilbert space
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 7
\pages 52--61
\mathnet{http://mi.mathnet.ru/ivm8810}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 7
\pages 45--52
\crossref{https://doi.org/10.3103/S1066369X13070050}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879762940}
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    • This publication is cited in the following 1 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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