Solving Urysohn integral equations by common fixed point results in complex valued metric spaces
The purpose of this article is to investigate the existence of solutions for Urysohn integral equations. To achieve our objectives, we take advantage of common fixed point results for self-mappings satisfying a generalized contraction involving control functions of two variables in the context of co...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023897?viewType=HTML |
| _version_ | 1797810638958886912 |
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| author | Afrah Ahmad Noman Abdou Ebtisam Salem Alharbi Jamshaid Ahmad |
| author_facet | Afrah Ahmad Noman Abdou Ebtisam Salem Alharbi Jamshaid Ahmad |
| author_sort | Afrah Ahmad Noman Abdou |
| collection | DOAJ |
| description | The purpose of this article is to investigate the existence of solutions for Urysohn integral equations. To achieve our objectives, we take advantage of common fixed point results for self-mappings satisfying a generalized contraction involving control functions of two variables in the context of complex valued metric spaces. We also supply a non-trivial example to show the validity of obtained results. |
| first_indexed | 2024-03-13T07:11:49Z |
| format | Article |
| id | doaj.art-5bff5c5258a9412e8e8f48cb04221933 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T07:11:49Z |
| publishDate | 2023-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5bff5c5258a9412e8e8f48cb042219332023-06-06T01:14:20ZengAIMS PressAIMS Mathematics2473-69882023-05-0188175851760210.3934/math.2023897Solving Urysohn integral equations by common fixed point results in complex valued metric spacesAfrah Ahmad Noman Abdou 0 Ebtisam Salem Alharbi1Jamshaid Ahmad2Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi ArabiaThe purpose of this article is to investigate the existence of solutions for Urysohn integral equations. To achieve our objectives, we take advantage of common fixed point results for self-mappings satisfying a generalized contraction involving control functions of two variables in the context of complex valued metric spaces. We also supply a non-trivial example to show the validity of obtained results.https://www.aimspress.com/article/doi/10.3934/math.2023897?viewType=HTMLcommon fixed pointurysohn integral equationsclosed ballgeneralized contractions |
| spellingShingle | Afrah Ahmad Noman Abdou Ebtisam Salem Alharbi Jamshaid Ahmad Solving Urysohn integral equations by common fixed point results in complex valued metric spaces AIMS Mathematics common fixed point urysohn integral equations closed ball generalized contractions |
| title | Solving Urysohn integral equations by common fixed point results in complex valued metric spaces |
| title_full | Solving Urysohn integral equations by common fixed point results in complex valued metric spaces |
| title_fullStr | Solving Urysohn integral equations by common fixed point results in complex valued metric spaces |
| title_full_unstemmed | Solving Urysohn integral equations by common fixed point results in complex valued metric spaces |
| title_short | Solving Urysohn integral equations by common fixed point results in complex valued metric spaces |
| title_sort | solving urysohn integral equations by common fixed point results in complex valued metric spaces |
| topic | common fixed point urysohn integral equations closed ball generalized contractions |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023897?viewType=HTML |
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