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Title: Newton–Kantorovich regularization method for nonlinear ill-posed equations involving m- accretive operators in Banach spaces
Authors: Sreedeep C.D.
George S.
Argyros I.K.
Issue Date: 2020
Citation: Rendiconti del Circolo Matematico di Palermo Vol. 69 , 2 , p. 459 - 473
Abstract: In this paper, we study nonlinear ill-posed problems involving m- accretive mappings in Banach spaces. We consider Newton–Kantorovich regularization method for the implementation of Lavrentiev regularization method. Using general Hölder type source condition we obtain an error estimate. We also use the adaptive parameter choice strategy proposed by Pereverzev and Schock (SIAM J Numer Anal 43(5):2060–2076, 2005) for choosing the regularization parameter. © 2019, Springer-Verlag Italia S.r.l., part of Springer Nature.
Appears in Collections:1. Journal Articles

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