Application of Petryshyn’s fixed point theorem to solvability for functional integral equations

Amar Deep, Deepmala, and R. Ezzati

Applied Mathematics and Computation, 2021, vol. 395, issue C

Abstract: In this article, we establish the existence of solution for some functional integral equations by Petryshyn’s fixed point theorem in Banach algebra. Our existence results cover several existence results obtained by numerous authors under some weaker conditions. We also give some examples of functional integral equations to verify the application of proved results.

Keywords: Petryshyn’s fixed point theorem; Functional integral equation(FIE); Measure of non-compactness(MNC) (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:395:y:2021:i:c:s0096300320308316

DOI: 10.1016/j.amc.2020.125878

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