REGULARIZATION METHODS FOR NONLINEAR ILL-POSED PROBLEMS WITH ACCRETIVE OPERATORS

This article is devoted to the regularization of nonlinear ill-posed problems with accretive operators in Banach spaces. The data involved are assumed to be known approximately. The authors concentrate their discussion on the convergence rates of regular solutions.

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Published inActa Mathematica Scientia Vol. 28; no. 1; pp. 141 - 150
Main Author 王吉安 李景 刘振海
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2008
School of Mathematical Science and Computing Technology, Central South University, Changsha,410075, China
Department of Mathematics, Changsha University of Science and Technology, Changsha,410076, China%Department of Mathematics, Changsha University of Science and Technology, Changsha,410076, China
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ISSN0252-9602
1572-9087
1003-3998
DOI10.1016/S0252-9602(08)60014-4

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Abstract This article is devoted to the regularization of nonlinear ill-posed problems with accretive operators in Banach spaces. The data involved are assumed to be known approximately. The authors concentrate their discussion on the convergence rates of regular solutions.
AbstractList O1; This article is devoted to the regularization of nonlinear ill-posed problems with accretive operators in Banach spaces. The data involved are assumed to be known approximately. The authors concentrate their discussion on the convergence rates of regular solutions.
This article is devoted to the regularization of nonlinear ill-posed problems with accretive operators in Banach spaces. The data involved are assumed to be known approximately. The authors concentrate their discussion on the convergence rates of regular solutions.
Author 王吉安 李景 刘振海
AuthorAffiliation Department of Mathematics, Changsha University of Science and Technology, Changsha,410076, China%Department of Mathematics, Changsha University of Science and Technology, Changsha,410076, China;School of Mathematical Science and Computing Technology, Central South University, Changsha,410075, China
AuthorAffiliation_xml – name: Department of Mathematics, Changsha University of Science and Technology, Changsha,410076, China%Department of Mathematics, Changsha University of Science and Technology, Changsha,410076, China;School of Mathematical Science and Computing Technology, Central South University, Changsha,410075, China
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CitedBy_id crossref_primary_10_1515_jiip_2021_0019
crossref_primary_10_1007_s12190_019_01246_1
crossref_primary_10_1080_00036811_2013_872777
Cites_doi 10.11650/twjm/1500558299
10.1016/j.jmaa.2004.08.001
10.1023/B:JOGO.0000035017.75703.7c
10.1006/jmaa.2000.7090
10.1088/0266-5611/18/1/313
10.1016/S0252-9602(17)30627-6
10.1016/0041-5553(89)90202-4
10.1006/jmaa.1994.1471
10.1023/A:1008643727926
10.1073/pnas.56.4.1080
10.1088/0266-5611/21/1/002
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Keywords ill-posed problems
nonlinear accretive operator
convergence rates
Regularization
conver-gence rates
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School of Mathematical Science and Computing Technology, Central South University, Changsha,410075, China
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Snippet This article is devoted to the regularization of nonlinear ill-posed problems with accretive operators in Banach spaces. The data involved are assumed to be...
O1; This article is devoted to the regularization of nonlinear ill-posed problems with accretive operators in Banach spaces. The data involved are assumed to...
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StartPage 141
SubjectTerms convergence rates
ill-posed problems
nonlinear accretive operator
Regularization
正则化
病态问题
非线性
Title REGULARIZATION METHODS FOR NONLINEAR ILL-POSED PROBLEMS WITH ACCRETIVE OPERATORS
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https://dx.doi.org/10.1016/S0252-9602(08)60014-4
https://www.proquest.com/docview/32615378
https://d.wanfangdata.com.cn/periodical/sxwlxb-e200801014
Volume 28
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