Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed Space
The study of fixed points on the maps fulfilling certain contraction requirements has several applications and has been the focus of numerous research endeavors. On the other hand, as an extension of the idea of the best approximation, the best proximity point (ƁƤƤ) emerges. The best approximation...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2023-07-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3080 |
| _version_ | 1827897217631911936 |
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| author | Raghad I. Sabri Buthainah A. A. Ahmed |
| author_facet | Raghad I. Sabri Buthainah A. A. Ahmed |
| author_sort | Raghad I. Sabri |
| collection | DOAJ |
| description |
The study of fixed points on the maps fulfilling certain contraction requirements has several applications and has been the focus of numerous research endeavors. On the other hand, as an extension of the idea of the best approximation, the best proximity point (ƁƤƤ) emerges. The best approximation theorem ensures the existence of an approximate solution; the best proximity point theorem is considered for addressing the problem in order to arrive at an optimum approximate solution. This paper introduces a new kind of proximal contraction mapping and establishes the best proximity point theorem for such mapping in fuzzy normed space ( space). In the beginning, the concept of the best proximity point was introduced. The concept of proximal contractive mapping in the context of fuzzy normed space is then presented. Following that, the best proximity point theory for this kind of mapping is established. In addition, we provide an example application of the results
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| first_indexed | 2024-03-12T22:46:01Z |
| format | Article |
| id | doaj.art-4c0719d789fa4700a6576cc5a5000325 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-03-12T22:46:01Z |
| publishDate | 2023-07-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-4c0719d789fa4700a6576cc5a50003252023-07-21T05:07:07ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072023-07-0136310.30526/36.3.3080Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed SpaceRaghad I. Sabri 0Buthainah A. A. Ahmed1Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq Department of Mathematics, College of Sciences, University of Baghdad, Baghdad, Iraq The study of fixed points on the maps fulfilling certain contraction requirements has several applications and has been the focus of numerous research endeavors. On the other hand, as an extension of the idea of the best approximation, the best proximity point (ƁƤƤ) emerges. The best approximation theorem ensures the existence of an approximate solution; the best proximity point theorem is considered for addressing the problem in order to arrive at an optimum approximate solution. This paper introduces a new kind of proximal contraction mapping and establishes the best proximity point theorem for such mapping in fuzzy normed space ( space). In the beginning, the concept of the best proximity point was introduced. The concept of proximal contractive mapping in the context of fuzzy normed space is then presented. Following that, the best proximity point theory for this kind of mapping is established. In addition, we provide an example application of the results https://jih.uobaghdad.edu.iq/index.php/j/article/view/3080Fuzzy normed space, φ ̃–ψ ̃-proximal contractive mapping, Best proximity point, Best proximity point theorems, Proximal contractive mapping . |
| spellingShingle | Raghad I. Sabri Buthainah A. A. Ahmed Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed Space Ibn Al-Haitham Journal for Pure and Applied Sciences Fuzzy normed space, φ ̃–ψ ̃-proximal contractive mapping, Best proximity point, Best proximity point theorems, Proximal contractive mapping . |
| title | Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed Space |
| title_full | Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed Space |
| title_fullStr | Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed Space |
| title_full_unstemmed | Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed Space |
| title_short | Best Proximity Point Theorem for φ ̃–ψ ̃-Proximal Contractive Mapping in Fuzzy Normed Space |
| title_sort | best proximity point theorem for φ ̃ ψ ̃ proximal contractive mapping in fuzzy normed space |
| topic | Fuzzy normed space, φ ̃–ψ ̃-proximal contractive mapping, Best proximity point, Best proximity point theorems, Proximal contractive mapping . |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3080 |
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