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

Publication Type : Journal Article

Publisher : Rendiconti del Circolo Matematico di Palermo

Source : Rendiconti del Circolo Matematico di Palermo Series 2, Volume 69, p.459–473 (2020)

Url : https://link.springer.com/article/10.1007%2Fs12215-019-00413-4

Keywords : adaptive parameter choice strategy, Banach space, Lavrentiev regularization, m−accretive mappings, Newton–Kantorovich regularization method, nonlinear ill-posed problem

Campus : Amritapuri

School : School of Arts and Sciences

Department : Mathematics

Year : 2020

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.

Cite this Research Publication : Sreedeep C. D., Santhosh George, and Argyros, I. K., “Newton–Kantorovich regularization method for nonlinear ill-posed equations involving m-accretive operators in Banach spaces”, Rendiconti del Circolo Matematico di Palermo Series 2, vol. 69, pp. 459–473, 2020.

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