Some new results in F-metric spaces with applications
In this research article, we give the notion of graphic F-contraction in the setting of F-metric space and establish some fixed point results. We also supply some examples to demonstrate the brilliance of the established results. We also establish some fixed point results for orbitally continuous an...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023528?viewType=HTML |
| _version_ | 1797871538927566848 |
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| author | Amer Hassan Albargi |
| author_facet | Amer Hassan Albargi |
| author_sort | Amer Hassan Albargi |
| collection | DOAJ |
| description | In this research article, we give the notion of graphic F-contraction in the setting of F-metric space and establish some fixed point results. We also supply some examples to demonstrate the brilliance of the established results. We also establish some fixed point results for orbitally continuous and orbitally G -continuous graphic F-contractions as applications of our main results. Also, we discuss the existence and the uniqueness of solutions of functional equations involving in dynamic programming. |
| first_indexed | 2024-04-10T00:45:28Z |
| format | Article |
| id | doaj.art-ce1dd7d95ac544fcbacfd792b7aa5fa8 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T00:45:28Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ce1dd7d95ac544fcbacfd792b7aa5fa82023-03-14T01:26:41ZengAIMS PressAIMS Mathematics2473-69882023-02-0185104201043410.3934/math.2023528Some new results in F-metric spaces with applicationsAmer Hassan Albargi0Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaIn this research article, we give the notion of graphic F-contraction in the setting of F-metric space and establish some fixed point results. We also supply some examples to demonstrate the brilliance of the established results. We also establish some fixed point results for orbitally continuous and orbitally G -continuous graphic F-contractions as applications of our main results. Also, we discuss the existence and the uniqueness of solutions of functional equations involving in dynamic programming.https://www.aimspress.com/article/doi/10.3934/math.2023528?viewType=HTMLfixed pointf-complete metric spacegeneralized contractiongraphsdynamic programming |
| spellingShingle | Amer Hassan Albargi Some new results in F-metric spaces with applications AIMS Mathematics fixed point f-complete metric space generalized contraction graphs dynamic programming |
| title | Some new results in F-metric spaces with applications |
| title_full | Some new results in F-metric spaces with applications |
| title_fullStr | Some new results in F-metric spaces with applications |
| title_full_unstemmed | Some new results in F-metric spaces with applications |
| title_short | Some new results in F-metric spaces with applications |
| title_sort | some new results in f metric spaces with applications |
| topic | fixed point f-complete metric space generalized contraction graphs dynamic programming |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023528?viewType=HTML |
| work_keys_str_mv | AT amerhassanalbargi somenewresultsinfmetricspaceswithapplications |