 |
|
Picard's Iterations for Integral Equations of Mixed Hammerstein Type |
Published:2008-09-01
Printed: Sep 2008
Printed: Sep 2008
- J. A. Ezquerro
- M. A. Hernández
Abstract
A new semilocal convergence result for the Picard method is presented,
where the main required condition in the contraction mapping principle is relaxed.
| Keywords: | nonlinear equations in Banach spaces, successive approximations, semilocal convergence theorem, Picard's iteration, Hammerstein integral equations |
| MSC Classifications: |
45G10 - Other nonlinear integral equations 47H99 - None of the above, but in this section 65J15 - Equations with nonlinear operators (do not use 65Hxx) |