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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 3, Pages 372–378 (Mi zvmmf495)  
This article is cited in 4 scientific papers (total in 4 papers)

Regularization for unconstrained vector optimization of convex functionals in Banach spaces

B. Nguyen

Vietnamese Academy of Science and Technology, Institute of Information Technology, 18 Hoang Quoc Viet, q. Cau Giay, Ha Noi, Vietnam, 10000
Full-text PDF (659 kB) Citations (4)
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Abstract: An operator regularization method is considered for ill-posed vector optimization of weakly lower semicontinuous essentially convex functionals on reflexive Banach spaces. The regularization parameter is chosen by a modified generalized discrepancy principle. A condition for the estimation of the convergence rate of regularized solutions is derived.
Key words: vector optimization of functionals, convex functionals on Banach spaces, regularization method, ill-posed problems.
Received: 28.07.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 3, Pages 354–360
DOI: https://doi.org/10.1134/S096554250603002X
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: English
Citation: B. Nguyen, “Regularization for unconstrained vector optimization of convex functionals in Banach spaces”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006), 372–378; Comput. Math. Math. Phys., 46:3 (2006), 354–360
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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