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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 14, Issue 6


Newton–Lavrentiev regularization of ill-posed Hammerstein type operator equation

S. George
  • Department of Mathematics, Government College of Arts, Science and Commerce, Sanquelim,Goa-403505. E-mail:
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In this paper we report on a new iterative method for regularizing a nonlinear Hammerstein type operator equation in Hilbert spaces. The proposed Newton–Lavrentiev method is a combination of Lavrentiev 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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Published Online:

Published in Print: 2006-09-01

Citation Information: Journal of Inverse and Ill-posed Problems jiip, Volume 14, Issue 6, Pages 573–582, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/156939406778474550.

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Journal of Inverse and Ill-posed Problems, 2007, Volume 15, Number 5

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