Expanding the applicability of a two step Newton-type projection method for ILL-posed problems

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dc.contributor.authorArgyros, I.K.
dc.contributor.authorErappa, M.E.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:34:16Z
dc.date.issued2014
dc.description.abstractThere are many classes of ill-posed problems that cannot be solved with existing iterative methods, since the usual Lipschitz-type assumptions are not satisfied. In this study, we expand the applicability of a two step Newton-type projection method considered in [10], [11], using weaker assumptions. Numerical examples for the method and examples where the old assumptions are not satisfied but the new assumptions are satisfied are provided at the end of this study.
dc.identifier.citationFunctiones et Approximatio, Commentarii Mathematici, 2014, 51, 1, pp. 141-166
dc.identifier.issn2086573
dc.identifier.urihttps://doi.org/10.7169/facm/2014.51.1.8
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26509
dc.publisherAdam Mickiewicz University Press Nowowiejskiego 55 Poznan 61-734
dc.subjectBalancing principle
dc.subjectDiscretized two step newton tikhonov method
dc.subjectILL-posed hammerstein-type operator equations
dc.subjectMonotone operator
dc.subjectProjection method
dc.subjectRegularization method
dc.titleExpanding the applicability of a two step Newton-type projection method for ILL-posed problems

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