Discrepancy Principle and Convergence Rates in Regularization of Monotone Ill-Posed Problems

The convergence rates of the regularized solution as well as its Galerkin approximations for nonlinear monotone ill-posed problems in a Banach space are established on the basis of the choice of a regularization parameter by the Morozov discrepancy principle.

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Bibliographic Details
Date:2003
Main Authors: Nguen, Byong, Нгуєн, Бионг
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3974
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal