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- Title
Derivative Free Iterative Scheme for Monotone Nonlinear Ill-posed Hammerstein-Type Equations.
- Authors
ERAPPA, SHOBHA M.; GEORGE, SANTHOSH
- Abstract
An iterative scheme which is free of derivative is employed to approximately solve nonlinear ill-posed Hammer- stein type operator equations TG(x) = y, where G is a non- linear monotone operator and ) is a bounded linear operator defined on Hilbert spaces X, Y, Z. 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 α. Furthermore, order optimal error bounds are obtained and the method is validated by a numerical example.
- Subjects
LINEAR operators; MONOTONE operators; OPERATOR equations; EQUATIONS; REGULARIZATION parameter; HILBERT space
- Publication
IAENG International Journal of Applied Mathematics, 2021, Vol 51, Issue 1, p164
- ISSN
1992-9978
- Publication type
Article