Newton-Kantorovich regularization method for nonlinear ill-posed equations involving \(m\)-accretive operators in Banach spaces

DOI10.1007/s12215-019-00413-4zbMath1501.47100OpenAlexW2931773519MaRDI QIDQ777189

C. D. Sreedeep, Ioannis K. Argyros, Santhosh George

Publication date: 3 July 2020

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-019-00413-4

zbMATH Keywords

Banach spacenonlinear ill-posed problem\(m\)-accretive mappingsLavrentiev regularizationadaptive parameter choice strategyNewton-Kantorovich regularization method

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Nonlinear ill-posed problems (47J06)

Cites Work

• Lavrentiev's regularization method in Hilbert spaces revisited
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