A New Extension of <i>C</i><sub>J</sub> Metric Spaces—Partially Controlled <i>J</i> Metric Spaces
This article introduces the concept of partially controlled <i>J</i> metric spaces; in particular, the <i>J</i> metric space with self-distance is not necessarily zero, which is important in computer science. We prove the existence of a unique fixed point for linear and nonli...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/13/2973 |
| _version_ | 1797591237094539264 |
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| author | Suhad Subhi Aiadi Wan Ainun Mior Othman Kok Bin Wong Nabil Mlaiki |
| author_facet | Suhad Subhi Aiadi Wan Ainun Mior Othman Kok Bin Wong Nabil Mlaiki |
| author_sort | Suhad Subhi Aiadi |
| collection | DOAJ |
| description | This article introduces the concept of partially controlled <i>J</i> metric spaces; in particular, the <i>J</i> metric space with self-distance is not necessarily zero, which is important in computer science. We prove the existence of a unique fixed point for linear and nonlinear contractions, provide some examples to prove the existence of this metric space, and present some important applications in fractional differential equations, i.e., “Riemann–Liouville derivatives”. |
| first_indexed | 2024-03-11T01:35:36Z |
| format | Article |
| id | doaj.art-da506c1f0b32424393029f673b515625 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T01:35:36Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-da506c1f0b32424393029f673b5156252023-11-18T17:03:58ZengMDPI AGMathematics2227-73902023-07-011113297310.3390/math11132973A New Extension of <i>C</i><sub>J</sub> Metric Spaces—Partially Controlled <i>J</i> Metric SpacesSuhad Subhi Aiadi0Wan Ainun Mior Othman1Kok Bin Wong2Nabil Mlaiki3Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaInstitute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, MalaysiaInstitute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, MalaysiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaThis article introduces the concept of partially controlled <i>J</i> metric spaces; in particular, the <i>J</i> metric space with self-distance is not necessarily zero, which is important in computer science. We prove the existence of a unique fixed point for linear and nonlinear contractions, provide some examples to prove the existence of this metric space, and present some important applications in fractional differential equations, i.e., “Riemann–Liouville derivatives”.https://www.mdpi.com/2227-7390/11/13/2973CJ metric spacespartially controlled J metric spacesfixed pointfractional differential equations |
| spellingShingle | Suhad Subhi Aiadi Wan Ainun Mior Othman Kok Bin Wong Nabil Mlaiki A New Extension of <i>C</i><sub>J</sub> Metric Spaces—Partially Controlled <i>J</i> Metric Spaces Mathematics CJ metric spaces partially controlled J metric spaces fixed point fractional differential equations |
| title | A New Extension of <i>C</i><sub>J</sub> Metric Spaces—Partially Controlled <i>J</i> Metric Spaces |
| title_full | A New Extension of <i>C</i><sub>J</sub> Metric Spaces—Partially Controlled <i>J</i> Metric Spaces |
| title_fullStr | A New Extension of <i>C</i><sub>J</sub> Metric Spaces—Partially Controlled <i>J</i> Metric Spaces |
| title_full_unstemmed | A New Extension of <i>C</i><sub>J</sub> Metric Spaces—Partially Controlled <i>J</i> Metric Spaces |
| title_short | A New Extension of <i>C</i><sub>J</sub> Metric Spaces—Partially Controlled <i>J</i> Metric Spaces |
| title_sort | new extension of i c i sub j sub metric spaces partially controlled i j i metric spaces |
| topic | CJ metric spaces partially controlled J metric spaces fixed point fractional differential equations |
| url | https://www.mdpi.com/2227-7390/11/13/2973 |
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