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

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

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]).

Bibliographic Details
Main Authors: M. I. Berenguer, M. V. Fernández Muñoz, A. I. Garralda Guillem, M. Ruiz Galán
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2009/735638
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spelling doaj-f5f4641c7b4c4c4c9c8665466851b4242020-11-24T21:41:08ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200910.1155/2009/735638Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral EquationM. I. BerenguerM. V. Fernández MuñozA. I. Garralda GuillemM. Ruiz GalánThe 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]). http://dx.doi.org/10.1155/2009/735638
collection DOAJ
language English
format Article
sources DOAJ
author M. I. Berenguer
M. V. Fernández Muñoz
A. I. Garralda Guillem
M. Ruiz Galán
spellingShingle M. I. Berenguer
M. V. Fernández Muñoz
A. I. Garralda Guillem
M. Ruiz Galán
Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation
Fixed Point Theory and Applications
author_facet M. I. Berenguer
M. V. Fernández Muñoz
A. I. Garralda Guillem
M. Ruiz Galán
author_sort M. I. Berenguer
title Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation
title_short Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation
title_full Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation
title_fullStr Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation
title_full_unstemmed Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation
title_sort numerical treatment of fixed point applied to the nonlinear fredholm integral equation
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2009-01-01
description 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]).
url http://dx.doi.org/10.1155/2009/735638
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AT mvfernamp225ndezmuamp241oz numericaltreatmentoffixedpointappliedtothenonlinearfredholmintegralequation
AT aigarraldaguillem numericaltreatmentoffixedpointappliedtothenonlinearfredholmintegralequation
AT mruizgalamp225n numericaltreatmentoffixedpointappliedtothenonlinearfredholmintegralequation
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