DOAJ (DOAJ: Directory of Open Access Journals) · 2005 · 21 citations · 3 references
Open access
Natural SciencesMathematicsDynamical SystemsFixed Point TheoryFixed PointsIntegral EquationsModular FormsPerturbation MethodsPerturbation TheoryExistence Of Fixed PointsFixed Point FormulationsFixed Point PropertyFredholm Integral EquationsSchauder Fixed Point TheoremSpaces Of Modular FormsUniqueness Of Fixed Points
In this paper, we present a modular version of Krasnoselskii's fixed point theorem. Then this result is applied to the existence of solutions to perturbed integral equations in modular function spaces.
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Topological Methods in the Theory of Nonlinear Integral Equations.
E. H. Rothe, M. A. Krasnosel’skii, A. H. Armstrong et al. · American Mathematical Monthly · 1968 · 2K citations