3D Dynamic Programming Approach to Functional Equations with Applications
This article demonstrates the graphical existence of a single fixed point while imposing the contractive condition of Chatterjea type F-contraction on F-metric space (briefly as F-MS). We present two examples that verify the validity of the results given in the paper. The paper further explains the...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/9485620 |
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| _version_ | 1849410737832722432 |
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| author | Awais Asif Sami Ullah Khan Thabet Abdeljawad Muahammad Arshad Amjad Ali |
| author_facet | Awais Asif Sami Ullah Khan Thabet Abdeljawad Muahammad Arshad Amjad Ali |
| author_sort | Awais Asif |
| collection | DOAJ |
| description | This article demonstrates the graphical existence of a single fixed point while imposing the contractive condition of Chatterjea type F-contraction on F-metric space (briefly as F-MS). We present two examples that verify the validity of the results given in the paper. The paper further explains the subsistence of the fixed point even if the contractive condition is valid only for a closed ball inside the space rather than imposing it on the whole F-MS. Moreover, the application of the mentioned results in finding a single solution of functional equations is described that is widely used in computer programming and optimization. |
| format | Article |
| id | doaj-art-5b2ce4c7fd174e5a8b64ad4855ed95a3 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5b2ce4c7fd174e5a8b64ad4855ed95a32025-08-20T03:35:00ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/948562094856203D Dynamic Programming Approach to Functional Equations with ApplicationsAwais Asif0Sami Ullah Khan1Thabet Abdeljawad2Muahammad Arshad3Amjad Ali4Department of Math & Stats, International Islamic University Islamabad, PakistanDepartment of Mathematics, Gomal University, D.I.Khan, 29050, KPK, PakistanDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, Saudi ArabiaDepartment of Math & Stats, International Islamic University Islamabad, PakistanDepartment of Math & Stats, International Islamic University Islamabad, PakistanThis article demonstrates the graphical existence of a single fixed point while imposing the contractive condition of Chatterjea type F-contraction on F-metric space (briefly as F-MS). We present two examples that verify the validity of the results given in the paper. The paper further explains the subsistence of the fixed point even if the contractive condition is valid only for a closed ball inside the space rather than imposing it on the whole F-MS. Moreover, the application of the mentioned results in finding a single solution of functional equations is described that is widely used in computer programming and optimization.http://dx.doi.org/10.1155/2020/9485620 |
| spellingShingle | Awais Asif Sami Ullah Khan Thabet Abdeljawad Muahammad Arshad Amjad Ali 3D Dynamic Programming Approach to Functional Equations with Applications Journal of Function Spaces |
| title | 3D Dynamic Programming Approach to Functional Equations with Applications |
| title_full | 3D Dynamic Programming Approach to Functional Equations with Applications |
| title_fullStr | 3D Dynamic Programming Approach to Functional Equations with Applications |
| title_full_unstemmed | 3D Dynamic Programming Approach to Functional Equations with Applications |
| title_short | 3D Dynamic Programming Approach to Functional Equations with Applications |
| title_sort | 3d dynamic programming approach to functional equations with applications |
| url | http://dx.doi.org/10.1155/2020/9485620 |
| work_keys_str_mv | AT awaisasif 3ddynamicprogrammingapproachtofunctionalequationswithapplications AT samiullahkhan 3ddynamicprogrammingapproachtofunctionalequationswithapplications AT thabetabdeljawad 3ddynamicprogrammingapproachtofunctionalequationswithapplications AT muahammadarshad 3ddynamicprogrammingapproachtofunctionalequationswithapplications AT amjadali 3ddynamicprogrammingapproachtofunctionalequationswithapplications |