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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 4, Pages 815–829
DOI: https://doi.org/10.33048/smzh.2023.64.413 (Mi smj7800) 		 
Distances between maximal monotone operators

A. A. Tolstonogov

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk
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DOI: https://doi.org/10.33048/smzh.2023.64.413
Abstract: We introduce a series of distances between maximal monotone operators and study their properties. As applications, we consider the existence of solutions to evolutionary inclusions with maximal monotone operators.
Keywords: maximal monotone operator, $\rho$-pseudodistance, Hausdorff $\rho$-distance.
Received: 06.04.2023
Revised: 06.04.2023
Accepted: 16.05.2023
Document Type: Article
UDC: 517.988.5
MSC: 35R30
Language: Russian
Citation: A. A. Tolstonogov, “Distances between maximal monotone operators”, Sibirsk. Mat. Zh., 64:4 (2023), 815–829
Citation in format AMSBIB
\Bibitem{Tol23}
\by A.~A.~Tolstonogov
\paper Distances between maximal monotone operators
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 4
\pages 815--829
\mathnet{http://mi.mathnet.ru/smj7800}
\crossref{https://doi.org/10.33048/smzh.2023.64.413}
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