Dynamical system method for ill-posed Hammerstein type operator equations with monotone operators

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dc.contributor.authorErappa, M.E.
dc.contributor.authorGeorge, S.
dc.date.accessioned2026-02-05T09:35:07Z
dc.date.issued2012
dc.description.abstractThe problem of approximately solving an ill-posed Hammerstein type operator equation KF(x) = y in a Hilbert space is considered, where K is a bounded linear operator and F is a non-linear monotone operator. The method involves the Dynamical System Method (DSM) - both continuous and iterative schemes, studied by Ramm (2005), and known as Tikhonov regularization. By choosing the regularization parameter according to an adaptive scheme considered by Pereverzev and Schock (2005) an order optimal error estimate has been obtained. © 2012 Academic Publications, Ltd.
dc.identifier.citationInternational Journal of Pure and Applied Mathematics, 2012, 81, 1, pp. 129-143
dc.identifier.issn13118080
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/26932
dc.subjectAdaptive scheme
dc.subjectDynamical system method
dc.subjectIll-posed Hammerstein type operator
dc.subjectMonotone operator
dc.subjectTikhonov regularization
dc.titleDynamical system method for ill-posed Hammerstein type operator equations with monotone operators

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