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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 3, Pages 55–64 (Mi ivm9092)  
This article is cited in 3 scientific papers (total in 3 papers)

A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations

Nguyen Buonga, Tran Thi Huongb, Nguyen Thi Thu Thuyc

a Vietnam Academy of Science and Technology, Institute of Information Technology, 18 Hoang Quoc Viet str., Hanoi, Vietnam
b Thainguyen National University, Thainguyen College of Economics-Techniques, Thainguyen City, Vietnam
c Thainguyen College of Sciences, Thainguyen University, Vietnam
Full-text PDF (206 kB) Citations (3)
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Abstract: In this paper, we study the Browder–Tikhonov regularization method, for finding a common solution for a system of nonlinear ill-posed equations with potential, hemicontinuous and monotone mappings in Banach spaces. We give a principle, named quasi-residual, to choose a value of the regularization parameter and an estimate of convergence rates for the regularized solutions.
Keywords: monotone operators, hemi-continuous, strictly convex Banach space, Fréchet differentiable, the Browder–Tikhonov regularization method.
Funding agency Grant number
National Foundation for Science and Technology Development Vietnam 101.02-2013.04(16)
Received: 23.03.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 3, Pages 47–55
DOI: https://doi.org/10.3103/S1066369X16030063
Bibliographic databases:
Document Type: Article
UDC: 517.988
Language: Russian
Citation: Nguyen Buong, Tran Thi Huong, Nguyen Thi Thu Thuy, “A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3, 55–64; Russian Math. (Iz. VUZ), 60:3 (2016), 47–55
Citation in format AMSBIB
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\paper A quasi-residual principle in regularization for a~common solution of a~system of nonlinear monotone ill-posed equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 3
\pages 55--64
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2016
\vol 60
\issue 3
\pages 47--55
\crossref{https://doi.org/10.3103/S1066369X16030063}
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  • https://www.mathnet.ru/eng/ivm/y2016/i3/p55
    • This publication is cited in the following 3 articles:
    1. Akhmat Ikramov, Askhad Polatov, Sukhbatulla Pulatov, Sardor Zhumaniyozov, INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021, 2637, INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021, 2022, 040006  crossref
    2. Sh. Wang, R. Ni, “Solving of two-dimensional unsteady-state heat-transfer inverse problem using finite difference method and model prediction control method”, Complexity, 2019 (2019), 7432138  crossref  isi  scopus
    3. Sh. Wang, Yu. Deng, X. Sun, “Solving of two-dimensional unsteady inverse heat conduction problems based on boundary element method and sequential function specification method”, Complexity, 2018, 6741632  crossref  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:88
    First page:32
     
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