A Newton-like method for the numerical solution of nonlinear Fredholm-type operator equations

In a recent paper, Hernández and Salanova proposed an interesting Newton-like method for the solution of nonlinear Fredholm integral equations. The aim of the present paper is to carry over this method to nonlinear operator equations of similar type. By using a functional analytic approach, the pres...

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 218; no. 20; pp. 10129 - 10148
Main Author: Kohaupt, L.
Format: Journal Article
Language:English
Published: Elsevier Inc 15.06.2012
Subjects:
Banach space
Computation
Integral equations
Mathematical analysis
Mathematical models
Method of successive approximations
Newton method
Newton methods
Newton-like method
Nonlinear Fredholm integral equation
Nonlinear Fredholm-type operator equation
Nonlinearity
Operators
Nonlinear Fredholm-type operator equation
Nonlinear Fredholm integral equation
Newton-like method
Newton method
Method of successive approximations
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Summary:In a recent paper, Hernández and Salanova proposed an interesting Newton-like method for the solution of nonlinear Fredholm integral equations. The aim of the present paper is to carry over this method to nonlinear operator equations of similar type. By using a functional analytic approach, the presentation becomes much clearer and more general. Apart from this, some new results in the Banach space setting as well as in the applications are obtained.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2012.03.089