An iterative regularization method for ill-posed Hammerstein type operator equations with monotone nonlinear part

dc.contributor.author	Kunhanandan, M.
dc.contributor.author	George, S.
dc.date.accessioned	2015-06-04T02:52:36Z
dc.date.available	2015-06-04T02:52:36Z
dc.date.issued	2010
dc.identifier.citation	International Journal of Mathematical Analysis. 4(34); 2010; 1673-1685.	en_US
dc.identifier.uri	http://www.m-hikari.com/ijma/ijma-2010/ijma-33-36-2010/georgeIJMA33-36-2010.pdf
dc.identifier.uri	http://irgu.unigoa.ac.in/drs/handle/unigoa/2483
dc.description.abstract	We considered a procedure for solving an ill-posed Hammerstein type operator equation KF(x) = y, by solving the linear equation Kz = y first for z and then solving the nonlinear equation F(x) = z. Convergence analysis is carried out by means of suitably constructed majorizing sequences. The derived error estimate using an adaptive method proposed by Perverzev and Schock (2005) in relation to the noise level and a stopping rule based on the majorizing sequences are shown to be of optimal order with respect to certain assumptions on F(cap-x), where cap-x is the solution of KF(x) = y.	en_US
dc.publisher	Hikari	en_US
dc.subject	Mathematics	en_US
dc.title	An iterative regularization method for ill-posed Hammerstein type operator equations with monotone nonlinear part	en_US
dc.type	Journal article	en_US