An extension of Darbo’s theorem and its application to existence of solution for a system of integral equations

DOI10.1080/25742558.2019.1614319zbMath1438.47091OpenAlexW2944346856MaRDI QIDQ5203801

Shahram Banaei

Publication date: 9 December 2019

Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/25742558.2019.1614319

zbMATH Keywords

integral equationsmeasure of noncompactnessfixed point theorem

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Fixed-point theorems (47H10) Volterra integral equations (45D05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (4)

An extension of Darbo's fixed point theorem for a class of system of nonlinear integral equations ⋮ Existence solution of a system of differential equations using generalized Darbo's fixed point theorem ⋮ Some fixed point theorems via measure of noncompactness with applications to differential equations ⋮ Measure of noncompactness and a generalized Darbo's fixed point theorem and its applications to a system of integral equations

Cites Work

• Existence of solutions for a class of nonlinear Volterra singular integral equations
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Some generalizations of Darbo fixed point theorem and applications
• A generalization of Darbo's theorem with application to the solvability of systems of integral equations
• Punti uniti in trasformazioni a codominio non compatto
• An extension of Darbo fixed point theorem and its applications to coupled fixed point and integral equations
• An extension of Darbo's theorem and its application to system of neutral differential equations with deviating argument
• Solvability of a system of integral equations of Volterra type in the Fréchet space lp loc(R+) via measure of noncompactness
• A Generalization of the Meir-Keeler Condensing Operators and its Application to Solvability of a System of Nonlinear Functional Integral Equations of Volterra Type
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