Solvability of a general nonlinear integral equation in \(L^1\) spaces by means of a measure of weak noncompactness

DOI10.1216/JIE-2015-27-2-273zbMath1323.47085MaRDI QIDQ746022

Fuli Wang

Publication date: 15 October 2015

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

Full work available at URL: https://projecteuclid.org/euclid.jiea/1441790289

zbMATH Keywords

fixed pointsnonlinear integral equationssuperposition operatorsBanach algebrasmeasure of weak noncompactness

Mathematics Subject Classification ID

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

Related Items (1)

Fixed point theorems in locally convex spaces and a nonlinear integral equation of mixed type

Cites Work

• Fixed points and solutions of operator equations for the weak topology in Banach algebras
• New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations
• Nonlinear alternatives of Schauder and Krasnosel'skij types with applications to Hammerstein integral equations in \(L^1\) spaces
• Existence results for a generalized nonlinear Hammerstein equation on \(L_{1}\) spaces
• On measures of weak noncompactness
• Fixed-point theorems for the sum of two operators under \(\omega\)-condensing
• On Nonlinear Contractions
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