Strong convergence to fixed points of an evolution subfamily
In this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset $ \mathcal{D} $ of a Banach space $ \mathsf{B} $. An example is also provided which shows the applications of evolution families and our main results. At the e...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231039?viewType=HTML |
| _version_ | 1827909464784633856 |
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| author | Gul Rahmat Tariq Shah Muhammad Sarwar Saber Mansour Hassen Aydi |
| author_facet | Gul Rahmat Tariq Shah Muhammad Sarwar Saber Mansour Hassen Aydi |
| author_sort | Gul Rahmat |
| collection | DOAJ |
| description | In this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset $ \mathcal{D} $ of a Banach space $ \mathsf{B} $. An example is also provided which shows the applications of evolution families and our main results. At the end, an open problem is given. |
| first_indexed | 2024-03-13T01:37:18Z |
| format | Article |
| id | doaj.art-d775521b92ec49aab94458c210c79be2 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T01:37:18Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-d775521b92ec49aab94458c210c79be22023-07-04T01:40:28ZengAIMS PressAIMS Mathematics2473-69882023-06-0189203802039410.3934/math.20231039Strong convergence to fixed points of an evolution subfamilyGul Rahmat0Tariq Shah1Muhammad Sarwar2Saber Mansour 3Hassen Aydi 41. Department of Mathematics, Islamia College University Peshawar, Peshawar, Pakistan; gulrahmat@icp.edu.pk; tariqshahmaths@gmail.com1. Department of Mathematics, Islamia College University Peshawar, Peshawar, Pakistan; gulrahmat@icp.edu.pk; tariqshahmaths@gmail.com2. Department of Mathematics, University of Malakand, Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan3. Department of Mathematics, Umm Al-Qura University, Faculty of Applied sciences, P. O. Box 14035, Holly Makkah 21955, Saudi Arabia; samansour@uqu.edu.sa4. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia 5. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 6. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South AfricaIn this manuscript, we give strong convergence results for a fixed point of a subfamily of an evolution family on a convex and closed subset $ \mathcal{D} $ of a Banach space $ \mathsf{B} $. An example is also provided which shows the applications of evolution families and our main results. At the end, an open problem is given.https://www.aimspress.com/article/doi/10.3934/math.20231039?viewType=HTMLnon-expansive mappingsstrong convergenceevolution familybanach space |
| spellingShingle | Gul Rahmat Tariq Shah Muhammad Sarwar Saber Mansour Hassen Aydi Strong convergence to fixed points of an evolution subfamily AIMS Mathematics non-expansive mappings strong convergence evolution family banach space |
| title | Strong convergence to fixed points of an evolution subfamily |
| title_full | Strong convergence to fixed points of an evolution subfamily |
| title_fullStr | Strong convergence to fixed points of an evolution subfamily |
| title_full_unstemmed | Strong convergence to fixed points of an evolution subfamily |
| title_short | Strong convergence to fixed points of an evolution subfamily |
| title_sort | strong convergence to fixed points of an evolution subfamily |
| topic | non-expansive mappings strong convergence evolution family banach space |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231039?viewType=HTML |
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