Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation
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Publication:1035125
DOI10.1155/2009/735638zbMath1177.65082OpenAlexW2137689253WikidataQ59248260 ScholiaQ59248260MaRDI QIDQ1035125
M. V. Fernández Muñoz, M. I. Berenguer, A. I. Garralda Guillem, Manuel Ruiz Galán
Publication date: 10 November 2009
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/45701
fixed pointSchauder basisBanach spacenonlinear Fredholm integral equationnonlinear integral operator
Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Integral operators (45P05) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
- Linear Volterra integro-differential equation and Schauder bases
- Approximation methods for common fixed points of mean nonexpansive mapping in Banach spaces
- High-order nonlinear initial-value problems countably determined
- Schauder bases in Banach spaces of continuous functions
- Iterative algorithm for approximating solutions of maximal monotone operators in Hilbert spaces
- Nonlinear initial-value problems and Schauder bases
- ISOMORPHISMS, SCHAUDER BASES IN BANACH SPACES, AND NUMERICAL SOLUTION OF INTEGRAL AND DIFFERENTIAL EQUATIONS
- Theoretical Numerical Analysis
- Numerical solution of integral equations