Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application
In this paper, we establish the new concept of rational coupled fuzzy cone contraction mapping in fuzzy cone metric spaces and prove some unique rational-type coupled fixed-point theorems in the framework of fuzzy cone metric spaces by using “the triangular property of fuzzy cone metric.” To ensure...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/4764441 |
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| _version_ | 1832546051352952832 |
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| author | Saif Ur Rehman Muhammad Talha Waheed Naeem Jan Abdu Gumaei Mabrook Al-Rakhami |
| author_facet | Saif Ur Rehman Muhammad Talha Waheed Naeem Jan Abdu Gumaei Mabrook Al-Rakhami |
| author_sort | Saif Ur Rehman |
| collection | DOAJ |
| description | In this paper, we establish the new concept of rational coupled fuzzy cone contraction mapping in fuzzy cone metric spaces and prove some unique rational-type coupled fixed-point theorems in the framework of fuzzy cone metric spaces by using “the triangular property of fuzzy cone metric.” To ensure the existence of our results, we present some illustrative unique coupled fixed-point examples. Furthermore, we present an application of a Lebesgue integral-type contraction mapping in fuzzy cone metric spaces and to prove a unique coupled fixed-point theorem. |
| format | Article |
| id | doaj-art-3b7ba1b1a518470a9c211834c78fddbb |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3b7ba1b1a518470a9c211834c78fddbb2025-02-03T07:23:55ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/47644414764441Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an ApplicationSaif Ur Rehman0Muhammad Talha Waheed1Naeem Jan2Abdu Gumaei3Mabrook Al-Rakhami4Department of Mathematics, Gomal University, Dera Ismail Khan 29050, PakistanDepartment of Mathematics, Gomal University, Dera Ismail Khan 29050, PakistanDepartment of Mathematics, Gomal University, Dera Ismail Khan 29050, PakistanComputer Science Department, Faculty of Applied Sciences, Taiz University, Taiz 6803, YemenSTC’s Artificial Intelligence Chair, Department of Information Systems, College of Computer and Information Sciences, King Saud University, Riyadh 11543, Saudi ArabiaIn this paper, we establish the new concept of rational coupled fuzzy cone contraction mapping in fuzzy cone metric spaces and prove some unique rational-type coupled fixed-point theorems in the framework of fuzzy cone metric spaces by using “the triangular property of fuzzy cone metric.” To ensure the existence of our results, we present some illustrative unique coupled fixed-point examples. Furthermore, we present an application of a Lebesgue integral-type contraction mapping in fuzzy cone metric spaces and to prove a unique coupled fixed-point theorem.http://dx.doi.org/10.1155/2021/4764441 |
| spellingShingle | Saif Ur Rehman Muhammad Talha Waheed Naeem Jan Abdu Gumaei Mabrook Al-Rakhami Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application Journal of Mathematics |
| title | Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application |
| title_full | Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application |
| title_fullStr | Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application |
| title_full_unstemmed | Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application |
| title_short | Some Rational Coupled Fuzzy Cone Contraction Theorems in Fuzzy Cone Metric Spaces with an Application |
| title_sort | some rational coupled fuzzy cone contraction theorems in fuzzy cone metric spaces with an application |
| url | http://dx.doi.org/10.1155/2021/4764441 |
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