A measure of weak noncompactness in \(L^1(\mathbb{R}^N)\) and applications

DOI10.1007/s00009-022-01991-xOpenAlexW4212864930MaRDI QIDQ2113571

Bilal Boulfoul, Smaïl Djebali

Publication date: 14 March 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-01991-x

zbMATH Keywords

measure of weak noncompactnessnonlinear contractionfunctional integral equationKrasnosel'skii fixed point theoremCarathéodory condition

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Functional equations (educational aspects) (97I70)

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On the measure of noncompactness in $L_p(\mathbb{R}^+)$ and applications to a product of $n$-integral equations

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