An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems

DOI10.1216/JIE-2010-22-3-369zbMath1206.47060OpenAlexW2015551786MaRDI QIDQ616662

Radu Ioan Boţ, Bernd Hofmann

Publication date: 12 January 2011

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie-2010-22-3-369

zbMATH Keywords

convergence ratesvariational inequalitiesill-posed problemsdistance functionsource conditionsgeneralised Young inequalitystructure of nonlinearityTikhonov regularisation

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Inverse problems in optimal control (49N45)

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