A fixed point theorem for nonautonomous type superposition operators and integrable solutions of a general nonlinear functional integral equation

DOI10.1186/1029-242X-2014-487zbMath1472.47048OpenAlexW2111880014WikidataQ59323557 ScholiaQ59323557MaRDI QIDQ2405754

Fuli Wang

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-487

zbMATH Keywords

fixed pointssuperposition operatorsmeasure of weak noncompactnessnonlinear functional integral equations

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

Fixed point theorems and the Krein-Šmulian property in locally convex spaces, Fixed point theorems in locally convex spaces and a nonlinear integral equation of mixed type, Existence of weak solutions for a boundary value problem of a second order ordinary differential equation, Existence, uniqueness, and numerical approximation of solutions of a nonlinear functional integral equation, Existence of global solutions for some classes of integral equations, A measure of weak noncompactness in \(L^1(\mathbb{R}^N)\) and applications

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