Summer 2022 An existence result for functional integral equations via Petryshyn’s fixed point theorem
Amar Deep, Ashish Kumar, Syed Abbas, Bipan Hazarika
J. Integral Equations Applications 34(2): 165-181 (Summer 2022). DOI: 10.1216/jie.2022.34.165

Abstract

Using Petryshyn’s fixed point theorem associated with the measure of noncompactness, we discuss the existence result for functional integral equations in Banach algebra, which covers many existence results for functional integral equations as a particular case under some weaker conditions. Further, we provide some examples of functional integral equations to illustrate our analytical findings.

Citation

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Amar Deep. Ashish Kumar. Syed Abbas. Bipan Hazarika. "An existence result for functional integral equations via Petryshyn’s fixed point theorem." J. Integral Equations Applications 34 (2) 165 - 181, Summer 2022. https://doi.org/10.1216/jie.2022.34.165

Information

Received: 19 January 2021; Revised: 17 August 2021; Accepted: 25 August 2021; Published: Summer 2022
First available in Project Euclid: 22 July 2022

MathSciNet: MR4456404
Digital Object Identifier: 10.1216/jie.2022.34.165

Subjects:
Primary: 47H09 , 47H10

Keywords: Banach Algebra , fixed point Theorem , functional integral equation , measure of noncompactness

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.34 • No. 2 • Summer 2022
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