Please use this identifier to cite or link to this item:
https://idr.l4.nitk.ac.in/jspui/handle/123456789/9764
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Shobha, M.E. | |
dc.contributor.author | George, S. | |
dc.contributor.author | Kunhanandan, M. | |
dc.date.accessioned | 2020-03-31T06:51:25Z | - |
dc.date.available | 2020-03-31T06:51:25Z | - |
dc.date.issued | 2014 | |
dc.identifier.citation | Journal of Integral Equations and Applications, 2014, Vol.26, 1, pp.91-116 | en_US |
dc.identifier.uri | 10.1216/JIE-2014-26-1-91 | |
dc.identifier.uri | http://idr.nitk.ac.in/jspui/handle/123456789/9764 | - |
dc.description.abstract | In this paper regularized solutions of ill-posed Hammerstein type operator equation KF(x) = y, where K : X ? Y is a bounded linear operator with non-closed range and F : X ? X is non-linear, are obtained by a two step Newton type iterative method in Hilbert scales, where the available data is y? in place of actual data y with | en_US |
dc.description.abstract | y-y? | en_US |
dc.description.abstract | ? ?. We require only a weaker assumption | en_US |
dc.description.abstract | F'(x0)x | en_US |
dc.description.abstract | ? | en_US |
dc.description.abstract | x | en_US |
dc.description.abstract | -b compared to the usual assumption | en_US |
dc.description.abstract | F'(x?)x | en_US |
dc.description.abstract | ? | en_US |
dc.description.abstract | x | en_US |
dc.description.abstract | -b, where x? is the actual solution of the problem, which is assumed to exist, and x0 is the initial approximation. Two cases, viz-aviz, (i) when F'(x0) is boundedly invertible and (ii) F'(x0) is non-invertible but F is monotone operator, are considered. We derive error bounds under certain general source conditions by choosing the regularization parameter by an a priori manner as well as by using a modified form of the adaptive scheme proposed by Perverzev and Schock . 2014 Rocky Mountain Mathematics Consortium. | en_US |
dc.title | A two step newton type iteration for ill-posed Hammerstein type operator equations in Hilbert scales | en_US |
dc.type | Article | en_US |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.