Existence and stability of solutions for a system of quadratic integral equations in Banach algebras-Reference-Cited by-同舟云学术

Existence and stability of solutions for a system of quadratic integral equations in Banach algebras

Published:2020-12-01 Issue:1 Volume:19 Page:203-218
ISSN:2300-133X
Container-title:Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
language:en
Short-container-title:

Author:

Baghdad Said¹

Affiliation:

1. Laboratory of Informatics and Mathematics , Ibn khaldoun University of Tiaret , Algeria

Abstract

Abstract The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo’s fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/aupcsm-2020-0015

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