An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems
In the theory of fuzzy fixed point, many authors have been proved different contractive type fixed point results with different types of applications. In this paper, we establish some new fuzzy cone contractive type unique coupled fixed point theorems (FP-theorems) in fuzzy cone metric spaces (FCM-s...
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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 Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/8766367 |
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| _version_ | 1832545867684380672 |
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| author | Muhammad Talha Waheed Saif Ur Rehman Naeem Jan Abdu Gumaei Mabrook Al-Rakhami |
| author_facet | Muhammad Talha Waheed Saif Ur Rehman Naeem Jan Abdu Gumaei Mabrook Al-Rakhami |
| author_sort | Muhammad Talha Waheed |
| collection | DOAJ |
| description | In the theory of fuzzy fixed point, many authors have been proved different contractive type fixed point results with different types of applications. In this paper, we establish some new fuzzy cone contractive type unique coupled fixed point theorems (FP-theorems) in fuzzy cone metric spaces (FCM-spaces) by using “the triangular property of fuzzy cone metric” and present illustrative examples to support our main work. In addition, we present a Lebesgue integral type mapping application to get the existence result of a unique coupled FP in FCM-spaces to validate our work. |
| format | Article |
| id | doaj-art-8a4c55ec4b674cb998512d421d35e5e1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8a4c55ec4b674cb998512d421d35e5e12025-02-03T07:24:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/87663678766367An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point TheoremsMuhammad Talha Waheed0Saif Ur Rehman1Naeem 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 the theory of fuzzy fixed point, many authors have been proved different contractive type fixed point results with different types of applications. In this paper, we establish some new fuzzy cone contractive type unique coupled fixed point theorems (FP-theorems) in fuzzy cone metric spaces (FCM-spaces) by using “the triangular property of fuzzy cone metric” and present illustrative examples to support our main work. In addition, we present a Lebesgue integral type mapping application to get the existence result of a unique coupled FP in FCM-spaces to validate our work.http://dx.doi.org/10.1155/2021/8766367 |
| spellingShingle | Muhammad Talha Waheed Saif Ur Rehman Naeem Jan Abdu Gumaei Mabrook Al-Rakhami An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems Journal of Function Spaces |
| title | An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems |
| title_full | An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems |
| title_fullStr | An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems |
| title_full_unstemmed | An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems |
| title_short | An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems |
| title_sort | approach of lebesgue integral in fuzzy cone metric spaces via unique coupled fixed point theorems |
| url | http://dx.doi.org/10.1155/2021/8766367 |
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