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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 10, Pages 81–87 (Mi ivm3082)  
Brief communications

Regularization of operator equations with $B$-symmetric and $B$-positive operators in Banach spaces

P. A. Chistyakov

Chair of Computational Mathematics, Ural State University, Ekaterinburg, Russia
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Abstract: In this paper we consider a family of regularization methods for linear operator equations with $B$-symmetric and $B$-positive operators. We establish convergence theorems for regularized solutions and their discrete approximations.
Keywords: $B$-symmetric operator, $B$-positive operator, uniformly convex space, Efimov–Stechkin space, discretization, iterative process, subgradient, subdifferential.
Received: 04.02.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 10, Pages 72–77
DOI: https://doi.org/10.3103/S1066369X09100119
Bibliographic databases:
Document Type: Article
UDC: 517.983+517.988
Language: Russian
Citation: P. A. Chistyakov, “Regularization of operator equations with $B$-symmetric and $B$-positive operators in Banach spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 10, 81–87; Russian Math. (Iz. VUZ), 53:10 (2009), 72–77
Citation in format AMSBIB
\Bibitem{Chi09}
\by P.~A.~Chistyakov
\paper Regularization of operator equations with $B$-symmetric and $B$-positive operators in Banach spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 10
\pages 81--87
\mathnet{http://mi.mathnet.ru/ivm3082}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2657228}
\zmath{https://zbmath.org/?q=an:1186.47008}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 10
\pages 72--77
\crossref{https://doi.org/10.3103/S1066369X09100119}
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