Newton-Kantorovich regularization method for nonlinear ill-posed equations involving \(m\)-accretive operators in Banach spaces
This paper studies the Lavrentiev method for solving nonlinear ill-posed problems involving \(m\)-accretive mappings in Banach spaces, implemented with the Newton-Kantorovich method. An error estimate is given under the classical Hölder-type source condition, and also the adaptive parameter choice strategy due to \textit{S. Pereverzev} and \textit{E. Schock} [SIAM J. Numer. Anal. 43, No. 5, 2060--2076 (2005; Zbl 1103.65058)] is discussed.
Newton-Kantorovich regularization method
scientific article; zbMATH DE number 7217854
scientific article