Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications
This article constitutes the new fixed point results of dynamic process D(ϒ, μ0) through FIC-integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set-valued mappings in the module of metric space. To do so, we use the dynamic process instead of th...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/8495451 |
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| _version_ | 1849400608217366528 |
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| author | Amjad Ali Eskandar Ameer Muhammad Arshad Hüseyin Işık Mustafa Mudhesh |
| author_facet | Amjad Ali Eskandar Ameer Muhammad Arshad Hüseyin Işık Mustafa Mudhesh |
| author_sort | Amjad Ali |
| collection | DOAJ |
| description | This article constitutes the new fixed point results of dynamic process D(ϒ, μ0) through FIC-integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set-valued mappings in the module of metric space. To do so, we use the dynamic process instead of the conventional Picard sequence. The main results are examined by tangible nontrivial examples which display the motivation for such investigation. The work is completed by giving an application to Liouville‐Caputo fractional differential equations. |
| format | Article |
| id | doaj-art-8e2b0c59ca4f48a18f38c0b7a0f3a4e9 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-8e2b0c59ca4f48a18f38c0b7a0f3a4e92025-08-20T03:37:57ZengWileyComplexity1099-05262022-01-01202210.1155/2022/8495451Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with ApplicationsAmjad Ali0Eskandar Ameer1Muhammad Arshad2Hüseyin Işık3Mustafa Mudhesh4Department of Mathematics and StatisticsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of Engineering ScienceDepartment of Mathematics and StatisticsThis article constitutes the new fixed point results of dynamic process D(ϒ, μ0) through FIC-integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set-valued mappings in the module of metric space. To do so, we use the dynamic process instead of the conventional Picard sequence. The main results are examined by tangible nontrivial examples which display the motivation for such investigation. The work is completed by giving an application to Liouville‐Caputo fractional differential equations.http://dx.doi.org/10.1155/2022/8495451 |
| spellingShingle | Amjad Ali Eskandar Ameer Muhammad Arshad Hüseyin Işık Mustafa Mudhesh Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications Complexity |
| title | Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications |
| title_full | Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications |
| title_fullStr | Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications |
| title_full_unstemmed | Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications |
| title_short | Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications |
| title_sort | fixed point results of dynamic process dˇϒ μ0 through fic contractions with applications |
| url | http://dx.doi.org/10.1155/2022/8495451 |
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