Erappa, Shobha M and George, Santhosh (2021) Derivative Free Iterative Scheme for Monotone Nonlinear Ill-posed Hammerstein-Type Equations. IAENG International Journal of Applied Mathematics, 51 (1). ISSN 1992-9978
![]() |
PDF
11509.pdf - Published Version Restricted to Registered users only Download (793kB) | Request a copy |
Abstract
—An iterative scheme which is free of derivative is employed to approximately solve nonlinear ill-posed Hammer�stein type operator equations 푇퐺(푥) = 푦, where 퐺 is a non�linear monotone operator and 푇 is a bounded linear operator defined on Hilbert spaces 푋, 푌, 푍. The convergence analysis adapted in the paper includes weaker Lipschitz condition and adaptive choice of Perverzev and Schock(2005) is employed to choose the regularization parameter 훼. Furthermore, order optimal error bounds are obtained and the method is validated by a numerical example
Item Type: | Article |
---|---|
Uncontrolled Keywords: | Derivative free Iterative method, Newton type method, Non-linear Ill-posed problems, Lipschitz condition, Hammerstein Operators, Adaptive Choice, Tikhonov regular�ization |
Subjects: | Engineering > MIT Manipal > Mathematics |
Depositing User: | MIT Library |
Date Deposited: | 05 Apr 2021 09:37 |
Last Modified: | 05 Apr 2021 09:37 |
URI: | http://eprints.manipal.edu/id/eprint/156630 |
Actions (login required)
![]() |
View Item |