Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 735638, 8 pages
doi:10.1155/2009/735638
Research Article

Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation

M. I. Berenguer, M. V. Fernández Muñoz, A. I. Garralda Guillem, and M. Ruiz Galán

Departamento de Matemática Aplicada, Universidad de Granada, E.U. Arquitectura Técnica, c/ Severo Ochoa s/n, 18071 Granada, Spain

Received 15 May 2009; Accepted 8 July 2009

Academic Editor: Massimo Furi

Copyright © 2009 M. I. Berenguer et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The authors present a method of numerical approximation of the fixed point of an operator, specifically the integral one associated with a nonlinear Fredholm integral equation, that uses strongly the properties of a classical Schauder basis in the Banach space C([a,b]×[a,b]).