Lipschitz and Darbo conditions for the superposition operator in ideal spaces

DOI10.1007/BF01766144zbMath0638.47063OpenAlexW2051475837MaRDI QIDQ1099398

Ivar Massabò, Alfonso Vignoli, Jürgen Appell, Peter P. Zabreĭko

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766144

zbMATH Keywords

Lipschitz conditionHausdorff measure of noncompactnesssuperposition operatorDarbo conditionideal spaces of measurable functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear operators and their properties (47H99)

Related Items

Sull'interpolazione di operatori nonlineari noncompatti in spazi di funzioni integrabili ⋮ New results on newton-kantorovich approximations with applications to nonlinear integral equations ⋮ Lipschitz and Darbo conditions for the superposition operator in some non-ideal spaces of smooth functions ⋮ On the application of the newton-kantorovich method to nonlinear integral equations of uryson type ⋮ Composing infinitely differentiable functions

Cites Work

• On products of Orlicz spaces
• An application of B. N. Sadovskij's fixed point principle to nonlinear singular equations
• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• On the extension of von Neumann-Aumann's theorem
• Punti uniti in trasformazioni a codominio non compatto
• On a Characterization of Lipschitzian Operators of Substitution in the SpaceBV{a, b)
• The radius of the essential spectrum
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