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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Page 391
DOI: https://doi.org/10.7868/S0044466914030144 (Mi zvmmf10000) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A regularized parameter choice in regularization for a common solution of a finite system of ill-posed equations involving Lipschitz continuous and accretive mappings

Buong Nguyena, Dinh Dung Nguyenb

a Vietnamese Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet, Hanoi, Vietnam
b Thainguyen National University, Thainguyen City, Vietnam
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DOI: https://doi.org/10.7868/S0044466914030144
Abstract: In this paper, we present a regularized parameter choice in a new regularization method of Browder–Tikhonov type, for finding a common solution of a finite system of ill-posed operator equations involving Lipschitz continuous and accretive mappings in a real reflexive and strictly convex Banach space with a uniformly Gateaux differentiate norm. An estimate for convergence rates of regularized solution is also established.
Key words: accretive and $\alpha$-strong accretive mapping, $\gamma$-co-coercive mapping, reflexive Banach space, Fréchet differentiable and the Browder–Tikhonov regularization.
Received: 22.05.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 397–406
DOI: https://doi.org/10.1134/S0965542514030130
Bibliographic databases:
Document Type: Article
UDC: 519.61
Language: English
Citation: Buong Nguyen, Dinh Dung Nguyen, “A regularized parameter choice in regularization for a common solution of a finite system of ill-posed equations involving Lipschitz continuous and accretive mappings”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 391; Comput. Math. Math. Phys., 54:3 (2014), 397–406
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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