STUDIA UNIVERSITATIS

AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN ROMÂNA ENGLISH INFOKIOSK CONTACT ADDRESSES SPECIAL ACCESS SUBSCRIPTION FORM NEWSLETTER & DOWNLOAD NEWEST ISSUES THIS YEAR ISSUES ALL ISSUES IN ARCHIVE FIND IN ARCHIVE HISTORY TODAY SCOP & OBJECTIVES THE TEAM


	The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.


	STUDIA MATHEMATICA - Issue no. 2 / 2014

	Article:	ITERATIVE REGULARIZATION METHODS FOR ILL-POSED HAMMERSTEIN-TYPE OPERATOR EQUATIONS IN HILBERT SCALES. Authors: .


	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. Mathematics Subject Classification (2010): 65J20, 65J10, 65R30, 47A52. Keywords: Nonlinear ill-posed Hammerstein type equations, iterative regularization, adaptive choice, Hilbert scales.




			Back to previous page