Iterative regularization methods for ill-posed Hammerstein-type operator equations in Hilbert scales

dc.contributor.author	Argyros, I.K.
dc.contributor.author	George, S.
dc.contributor.author	Kunhanandan, M.
dc.date.accessioned	2015-09-22T08:39:38Z
dc.date.available	2015-09-22T08:39:38Z
dc.date.issued	2014
dc.identifier.citation	Studia Universitatis Babes-Bolayi Mathematica. 59(2); 2014; 247-262.	en_US
dc.identifier.uri	http://www.cs.ubbcluj.ro/~studia-m/2014-2/11-argyros-final.pdf
dc.identifier.uri	http://irgu.unigoa.ac.in/drs/handle/unigoa/3622
dc.description.abstract	In this paper we report on a method for regularizing a nonlinear Hammerstein type operator equation in Hilbert scales. The proposed method is a combination of Lavrentieve regularization method and a Modified Newton's method in Hilbert scales. Under the assumptions that the operator F is continuously differentiable with a Lipschitz-continuous first derivative and that the solution of (1.1) fulfills a general source condition, we give an optimal order convergence rate result with respect to the general source function.	en_US
dc.publisher	Babes-Bolyai University, Romania	en_US
dc.subject	Mathematics	en_US
dc.title	Iterative regularization methods for ill-posed Hammerstein-type operator equations in Hilbert scales	en_US
dc.type	Journal article	en_US
dc.identifier.impf	cs