학술논문
A modification of the convergence conditions for Picard's iteration
Document Type
article
Author
Source
Computational & Applied Mathematics. January 2004 23(1)
Subject
Language
English
ISSN
1807-0302
Abstract
The convergence of the method of successive approximations is usually studied by the fixed point theorem. An alternative to this theorem is given in this work, where a contraction mapping is not necessary. An application to nonlinear integral equations of Fredholm type and second kind is also presented.