Lavrentiev's regularization method for nonlinear ill-posed equations in Banach spaces

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dc.contributor.authorGeorge, S.
dc.contributor.authorSreedeep, C.D.
dc.date.accessioned2026-02-05T09:31:48Z
dc.date.issued2018
dc.description.abstractIn this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the implementation of Lavrentiev regularization method. Using general Hölder type source condition we obtain an optimal order error estimate. Also we consider the adaptive parameter choice strategy proposed by Pereverzev and Schock (2005) for choosing the regularization parameter. © 2018 Wuhan Institute of Physics and Mathematics
dc.identifier.citationActa Mathematica Scientia, 2018, 38, 1, pp. 303-314
dc.identifier.issn2529602
dc.identifier.urihttps://doi.org/10.1016/S0252-9602(17)30133-9
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/25385
dc.publisherElsevier B.V.
dc.subjectadaptive parameter choice strategy
dc.subjectBanach space
dc.subjectLavrentiev regularization
dc.subjectm-accretive mappings
dc.subjectnonlinear ill-posed problem
dc.titleLavrentiev's regularization method for nonlinear ill-posed equations in Banach spaces

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