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