Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem

Using the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation. Moreover, in order to illustrate our results, we include one example...

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Main Authors:	Agnieszka Chlebowicz, Mohamed Abdalla Darwish, Kishin Sadarangani
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/2014/324082

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spelling	doaj-1b8b57984cf34972a2f9e9f59bf3f4bc2020-11-24T23:30:51ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/324082324082Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s TheoremAgnieszka Chlebowicz0Mohamed Abdalla Darwish1Kishin Sadarangani2Department of Mathematics, Rzeszów University of Technology, al. Powstańców Warszawy 8, 35-959 Rzeszów, PolandDepartment of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus deTafira Baja, 35017 Las Palmas de Gran Canaria, SpainUsing the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation. Moreover, in order to illustrate our results, we include one example and compare our results with those obtained in other papers appearing in the literature.http://dx.doi.org/10.1155/2014/324082
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Agnieszka Chlebowicz Mohamed Abdalla Darwish Kishin Sadarangani
spellingShingle	Agnieszka Chlebowicz Mohamed Abdalla Darwish Kishin Sadarangani Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem Journal of Function Spaces
author_facet	Agnieszka Chlebowicz Mohamed Abdalla Darwish Kishin Sadarangani
author_sort	Agnieszka Chlebowicz
title	Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem
title_short	Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem
title_full	Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem
title_fullStr	Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem
title_full_unstemmed	Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem
title_sort	existence and asymptotic stability of solutions of a functional integral equation via a consequence of sadovskii’s theorem
publisher	Hindawi Limited
series	Journal of Function Spaces
issn	2314-8896 2314-8888
publishDate	2014-01-01
description	Using the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation. Moreover, in order to illustrate our results, we include one example and compare our results with those obtained in other papers appearing in the literature.
url	http://dx.doi.org/10.1155/2014/324082
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Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem

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