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

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 spac...

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Bibliographic Details
Published inComputational mathematics and mathematical physics Vol. 54; no. 3; pp. 397 - 406
Main Authors Buong, Nguyen, Dung, Nguyen Dinh
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.03.2014
Springer Nature B.V
Subjects
Approximation
Banach space
Banach spaces
Computational mathematics
Computational Mathematics and Numerical Analysis
Convergence
Ill posed problems
Mapping
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Norms
Physics
Regularization
Regularization methods
accretive and α-strong accretive mapping
Fréchet differentiable and the Browder-Tikhonov regularization
γ-co-coercive mapping
reflexive Banach space
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542514030130