Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643015 | Journal of Computational and Applied Mathematics | 2006 | 15 Pages |
Abstract
The convergence problem of the family of the deformed Euler-Halley iterations with parameters for solving nonlinear operator equations in Banach spaces is studied. Under the assumption that the second derivative of the operator satisfies the Hölder condition, a convergence criterion of the order 2+p of the iteration family is established. An application to a nonlinear Hammerstein integral equation of the second kind is provided.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xintao Ye, Chong Li,