Please use this identifier to cite or link to this item: http://idr.nitk.ac.in/jspui/handle/123456789/10678
Title: Dynamical system method for ill-posed Hammerstein type operator equations with monotone operators
Authors: Shobha, M.E.
George, S.
Issue Date: 2012
Citation: International Journal of Pure and Applied Mathematics, 2012, Vol.81, 1, pp.129-143
Abstract: The 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.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/10678
Appears in Collections:1. Journal Articles

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