Extended Newton-type iteration for nonlinear ill-posed equations in Banach space

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dc.contributor.authorSreedeep, C.D.
dc.contributor.authorGeorge, S.
dc.contributor.authorArgyros, I.K.
dc.date.accessioned2026-02-05T09:30:02Z
dc.date.issued2019
dc.description.abstractIn this paper, we study nonlinear ill-posed equations involving m-accretive mappings in Banach spaces. We produce an extended Newton-type iterative scheme that converges cubically to the solution which uses assumptions only on the first Fréchet derivative of the operator. 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. © 2018, Korean Society for Computational and Applied Mathematics.
dc.identifier.citationJournal of Applied Mathematics and Computing, 2019, 60, 46054, pp. 435-453
dc.identifier.issn15985865
dc.identifier.urihttps://doi.org/10.1007/s12190-018-01221-2
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/24546
dc.publisherSpringer Verlag service@springer.de
dc.subjectBanach spaces
dc.subjectMapping
dc.subjectParameterization
dc.subjectAdaptive parameters
dc.subjectIterative schemes
dc.subjectLavrentiev regularizations
dc.subjectM-accretive mappings
dc.subjectNonlinear ill-posed problems
dc.subjectNonlinear equations
dc.titleExtended Newton-type iteration for nonlinear ill-posed equations in Banach space

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