In this paper we report on a new iterative method for regularizing a nonlinear Hammerstein operator equation in Hilbert spaces. The proposed Newton-Tikhonov method is a combination of Tikhonov regularization and a Newton's iteration. Under the assumptions that the operator F is continuous Fréchet differentiable with a Lipschitz-continuous first derivative and that the solution of (1.1) fulfills a smoothness condition, we will give a convergence rate result.
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Newton–Tikhonov regularization of ill-posed Hammerstein operator equation
S. George∗
∗Department of Mathematics, Government College of Arts, Science and Commerce, Sanquelim, Goa-403505. E-Mail: santhoshsq1729@yahoo.co.in
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 2, Pages 135–145, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406777571076,
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