An extension of Darbo’s fixed point theorem for a class of system of nonlinear integral equations
Amar Deep, Deepmala Deepmala, Jamal Rezaei Roshan, Kottakkaran Sooppy Nisar, Thabet Abdeljawad
Abstract
Abstract We introduce an extension of Darbo’s fixed point theorem via a measure of noncompactness in a Banach space. By using our extension we study the existence of a solution for a system of nonlinear integral equations, which is an extended result of (Aghajani and Haghighi in Novi Sad J. Math. 44(1):59–73, 2014). We give an example to show the specified existence results.
Topics & Concepts
MathematicsFixed-point theoremExtension (predicate logic)Nonlinear systemBanach spacePicard–Lindelöf theoremIntegral equationMeasure (data warehouse)Mathematical analysisClass (philosophy)Ordinary differential equationFixed pointC0-semigroupPure mathematicsDifferential equationComputer scienceQuantum mechanicsProgramming languagePhysicsDatabaseArtificial intelligenceNonlinear Differential Equations AnalysisFixed Point Theorems AnalysisFractional Differential Equations Solutions