An existence theorem for nonlinear functional Volterra integral equations via Petryshyn's fixed point theorem
Soniya Singh, Satish Kumar, Mohamed M. A. Metwali, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar
Abstract
<abstract><p>Using the method of Petryshyn's fixed point theorem in Banach algebra, we investigate the existence of solutions for functional integral equations, which involves as specific cases many functional integral equations that appear in different branches of non-linear analysis and their applications. Finally, we recall some particular cases and examples to validate the applicability of our study.</p></abstract>
Topics & Concepts
Fixed-point theoremMathematicsPicard–Lindelöf theoremNonlinear systemVolterra integral equationIntegral equationBrouwer fixed-point theoremFixed pointPure mathematicsApplied mathematicsMathematical analysisDiscrete mathematicsPhysicsQuantum mechanicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsFixed Point Theorems Analysis