An extension of Darbo's theorem and its application

DOI10.1155/2014/852324zbMath1473.47018OpenAlexW2091872833WikidataQ59042049 ScholiaQ59042049MaRDI QIDQ1725134

Xianqiang Yang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/852324

zbMATH Keywords

integral equationmeasures of noncompactnessDarbo fixed point theorem

Mathematics Subject Classification ID

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 (11)

Some generalizations of Darbo's theorem and applications to fractional integral equations ⋮ New generalizations of Darbo's fixed point theorem ⋮ The measure of noncompactness in a generalized coupled fixed point theorem and its application to an integro-differential system ⋮ New Generalization of Darbo's Fixed Point Theorem via $alpha$-admissible Simulation Functions with Application ⋮ Solvability for infinite systems of fractional differential equations in Banach sequence spaces lp and c0 ⋮ Positive solutions of fractional integral equations by the technique of measure of noncompactness ⋮ \(F(\psi,\varphi)\)-contraction in terms of measure of noncompactness with application for nonlinear integral equations ⋮ On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator ⋮ Common fixed point theorems for two and three mappings ⋮ Positive Solution of a Quadratic Integral Equation Using Generalization of Darbo’s Fixed Point Theorem ⋮ Unnamed Item

Cites Work

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• Global asymptotic stability for nonlinear functional integral equation of mixed type
• A generalized weak contraction principle with applications to coupled coincidence point problems
• Some generalizations of Darbo fixed point theorem and applications
• Nondecreasing solutions of a quadratic Abel equation with supremum in the kernel
• A generalization of Darbo's theorem with application to the solvability of systems of integral equations
• Punti uniti in trasformazioni a codominio non compatto

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