Fixed Point Theory and Applications · 2009 · 40 citations · 4 references
Natural SciencesComputational EngineeringDifferential EquationsFixed Point TheoryIntegral EquationsNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsOperator TheoryApproximation PropertiesFixed Point AnalysisFredholm Integral EquationsFredholm OperatorsFredholm TheoryNonlinear Integral EquationsNumerical Methods For Integral EquationsNumerical Simulation
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 "Equation missing".
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Nonlinear initial-value problems and Schauder bases
D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán · Nonlinear Analysis · 2005 · 18 citations