Fuzzy Triple Controlled Metric like Spaces with Applications
In this article, we introduce the concept of a fuzzy triple controlled metric like space in the sense that the self distance may not be equal to one. We have used three functions in our space that generalize fuzzy controlled rectangular, extended fuzzy rectangular, fuzzy <inline-formula><ma...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/6/1390 |
| _version_ | 1797610404979933184 |
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| author | Naeem Saleem Salman Furqan Kinda Abuasbeh Muath Awadalla |
| author_facet | Naeem Saleem Salman Furqan Kinda Abuasbeh Muath Awadalla |
| author_sort | Naeem Saleem |
| collection | DOAJ |
| description | In this article, we introduce the concept of a fuzzy triple controlled metric like space in the sense that the self distance may not be equal to one. We have used three functions in our space that generalize fuzzy controlled rectangular, extended fuzzy rectangular, fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>–</mo></mrow></semantics></math></inline-formula>rectangular and fuzzy rectangular metric like spaces. Various examples are given to justify our definitions and results. As for the topological aspect, we prove a fuzzy triple controlled metric like space is not Hausdorff. We also apply our main result to solve the uniqueness of the solution of a fractional differential equation. |
| first_indexed | 2024-03-11T06:13:52Z |
| format | Article |
| id | doaj.art-f49ded2c6cdf48bab20933171a4bdbc8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T06:13:52Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f49ded2c6cdf48bab20933171a4bdbc82023-11-17T12:27:55ZengMDPI AGMathematics2227-73902023-03-01116139010.3390/math11061390Fuzzy Triple Controlled Metric like Spaces with ApplicationsNaeem Saleem0Salman Furqan1Kinda Abuasbeh2Muath Awadalla3Department of Mathematics, University of Management and Technology Lahore, Lahore 54770, PakistanDepartment of Mathematics, University of Management and Technology Lahore, Lahore 54770, PakistanDepartment of Mathematics and Statistics, College of Science, King Faisal University, Hafuaf 31982, Al Ahsa, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, King Faisal University, Hafuaf 31982, Al Ahsa, Saudi ArabiaIn this article, we introduce the concept of a fuzzy triple controlled metric like space in the sense that the self distance may not be equal to one. We have used three functions in our space that generalize fuzzy controlled rectangular, extended fuzzy rectangular, fuzzy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>–</mo></mrow></semantics></math></inline-formula>rectangular and fuzzy rectangular metric like spaces. Various examples are given to justify our definitions and results. As for the topological aspect, we prove a fuzzy triple controlled metric like space is not Hausdorff. We also apply our main result to solve the uniqueness of the solution of a fractional differential equation.https://www.mdpi.com/2227-7390/11/6/1390fuzzy metric like spacecontrolled metric spacefractional differential equation |
| spellingShingle | Naeem Saleem Salman Furqan Kinda Abuasbeh Muath Awadalla Fuzzy Triple Controlled Metric like Spaces with Applications Mathematics fuzzy metric like space controlled metric space fractional differential equation |
| title | Fuzzy Triple Controlled Metric like Spaces with Applications |
| title_full | Fuzzy Triple Controlled Metric like Spaces with Applications |
| title_fullStr | Fuzzy Triple Controlled Metric like Spaces with Applications |
| title_full_unstemmed | Fuzzy Triple Controlled Metric like Spaces with Applications |
| title_short | Fuzzy Triple Controlled Metric like Spaces with Applications |
| title_sort | fuzzy triple controlled metric like spaces with applications |
| topic | fuzzy metric like space controlled metric space fractional differential equation |
| url | https://www.mdpi.com/2227-7390/11/6/1390 |
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