Existence and stability of solutions for a system of quadratic integral equations in Banach algebras
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...
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| Format: | Article |
| Language: | deu |
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Sciendo
2020-12-01
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| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
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| Online Access: | https://studmath.up.krakow.pl/index.php/studmath/article/view/7934 |
| _version_ | 1818567918207631360 |
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| author | Said Baghdad |
| author_facet | Said Baghdad |
| author_sort | Said Baghdad |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T06:29:30Z |
| format | Article |
| id | doaj.art-6160ae48534f48c499c5bd1eae982434 |
| institution | Directory Open Access Journal |
| issn | 2081-545X 2300-133X |
| language | deu |
| last_indexed | 2024-12-14T06:29:30Z |
| publishDate | 2020-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| spelling | doaj.art-6160ae48534f48c499c5bd1eae9824342022-12-21T23:13:33ZdeuSciendoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica2081-545X2300-133X2020-12-01192032187934Existence and stability of solutions for a system of quadratic integral equations in Banach algebrasSaid Baghdad0Laboratory of Informatics and Mathematics, Ibn Khaldoun University of Tiaret 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.https://studmath.up.krakow.pl/index.php/studmath/article/view/7934quadratic integral equations of fractional order |
| spellingShingle | Said Baghdad Existence and stability of solutions for a system of quadratic integral equations in Banach algebras Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica quadratic integral equations of fractional order |
| title | Existence and stability of solutions for a system of quadratic integral equations in Banach algebras |
| title_full | Existence and stability of solutions for a system of quadratic integral equations in Banach algebras |
| title_fullStr | Existence and stability of solutions for a system of quadratic integral equations in Banach algebras |
| title_full_unstemmed | Existence and stability of solutions for a system of quadratic integral equations in Banach algebras |
| title_short | Existence and stability of solutions for a system of quadratic integral equations in Banach algebras |
| title_sort | existence and stability of solutions for a system of quadratic integral equations in banach algebras |
| topic | quadratic integral equations of fractional order |
| url | https://studmath.up.krakow.pl/index.php/studmath/article/view/7934 |
| work_keys_str_mv | AT saidbaghdad existenceandstabilityofsolutionsforasystemofquadraticintegralequationsinbanachalgebras |