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

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dc.contributor.authorSreedeep, C.D.
dc.contributor.authorGeorge, S.
dc.contributor.authorArgyros, I.K.
dc.date.accessioned2026-02-05T09:28:24Z
dc.date.issued2020
dc.description.abstractIn 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.
dc.identifier.citationRendiconti del Circolo Matematico di Palermo, 2020, 69, 2, pp. 459-473
dc.identifier.issn0009725X
dc.identifier.urihttps://doi.org/10.1007/s12215-019-00413-4
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23804
dc.publisherSpringer springer@springer.it
dc.subjectAdaptive parameter choice strategy
dc.subjectBanach space
dc.subjectLavrentiev regularization
dc.subjectm- accretive mappings
dc.subjectNewton–Kantorovich regularization method
dc.subjectNonlinear ill-posed problem
dc.titleNewton–Kantorovich regularization method for nonlinear ill-posed equations involving m- accretive operators in Banach spaces

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