Fixed point theorems in controlled J−metric spaces
In this article, we introduce a new extension to $ J- $metric spaces, called $ C_{J}- $metric spaces, where $ \theta $ is the controlled function in the triangle inequality. We prove some fixed point results in this new type of metric space. In addition, we present some applications to systems of li...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023235?viewType=HTML |
| _version_ | 1828059318453272576 |
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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 | In this article, we introduce a new extension to $ J- $metric spaces, called $ C_{J}- $metric spaces, where $ \theta $ is the controlled function in the triangle inequality. We prove some fixed point results in this new type of metric space. In addition, we present some applications to systems of linear equations to illustrate our results. |
| first_indexed | 2024-04-10T21:41:06Z |
| format | Article |
| id | doaj.art-1e7d1b57998940e6a56fe79f7de84a1d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T21:41:06Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-1e7d1b57998940e6a56fe79f7de84a1d2023-01-19T01:42:04ZengAIMS PressAIMS Mathematics2473-69882023-01-01824753476310.3934/math.2023235Fixed point theorems in controlled J−metric spacesSuhad Subhi Aiadi0Wan Ainun Mior Othman1Kok Bin Wong2 Nabil Mlaiki31. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia 2. Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur, Malaysia2. Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur, Malaysia2. Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur, Malaysia1. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaIn this article, we introduce a new extension to $ J- $metric spaces, called $ C_{J}- $metric spaces, where $ \theta $ is the controlled function in the triangle inequality. We prove some fixed point results in this new type of metric space. In addition, we present some applications to systems of linear equations to illustrate our results.https://www.aimspress.com/article/doi/10.3934/math.2023235?viewType=HTMLixed pointc<sub>j</sub>−metric spacej−metric spaces |
| spellingShingle | Suhad Subhi Aiadi Wan Ainun Mior Othman Kok Bin Wong Nabil Mlaiki Fixed point theorems in controlled J−metric spaces AIMS Mathematics ixed point c<sub>j</sub>−metric space j−metric spaces |
| title | Fixed point theorems in controlled J−metric spaces |
| title_full | Fixed point theorems in controlled J−metric spaces |
| title_fullStr | Fixed point theorems in controlled J−metric spaces |
| title_full_unstemmed | Fixed point theorems in controlled J−metric spaces |
| title_short | Fixed point theorems in controlled J−metric spaces |
| title_sort | fixed point theorems in controlled j metric spaces |
| topic | ixed point c<sub>j</sub>−metric space j−metric spaces |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023235?viewType=HTML |
| work_keys_str_mv | AT suhadsubhiaiadi fixedpointtheoremsincontrolledjmetricspaces AT wanainunmiorothman fixedpointtheoremsincontrolledjmetricspaces AT kokbinwong fixedpointtheoremsincontrolledjmetricspaces AT nabilmlaiki fixedpointtheoremsincontrolledjmetricspaces |