A cone measure of noncompactness and some generalizations of Darbo's theorem with applications to functional integral equations

DOI10.1155/2016/9896502zbMath1477.47038OpenAlexW2535460171WikidataQ59126615 ScholiaQ59126615MaRDI QIDQ340950

Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Kishin Sadarangani

Publication date: 15 November 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/9896502

zbMATH Keywords

Darbo's theoremcone measure of noncompactness

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Systems of nonlinear integral equations (45G15) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

Existence of solutions for some classes of integro-differential equations in the Sobolev space \(W^{n,p}(\mathbb {R}_+)\), Measure of noncompactness on weighted Sobolev space with an application to some nonlinear convolution type integral equations, Construction of a measure of noncompactness in Sobolev spaces with an application to functional integral-differential equations, Fixed points of monotone mappings via generalized-measure of noncompactness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotonic solutions of a quadratic integral equation of fractional order
• Fixed point theorem for two non-self mappings in cone metric spaces
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Monotonic solutions of a quadratic integral equation of Volterra type
• A generalization of Darbo's theorem with application to the solvability of systems of integral equations
• On quadratic integral equation of fractional orders
• An extension of Darbo fixed point theorem and its applications to coupled fixed point and integral equations