Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces
In this paper, motivated by the recent result of Sezen, we introduce the notion of fuzzy triple controlled bipolar metric space and prove some fixed point results in this framework. Our results generalize and extend some of the well-known results from the literature. We also explore some of the appl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/24/3181 |
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| author | Gunaseelan Mani Arul Joseph Gnanaprakasam Zoran D. Mitrović Monica-Felicia Bota |
| author_facet | Gunaseelan Mani Arul Joseph Gnanaprakasam Zoran D. Mitrović Monica-Felicia Bota |
| author_sort | Gunaseelan Mani |
| collection | DOAJ |
| description | In this paper, motivated by the recent result of Sezen, we introduce the notion of fuzzy triple controlled bipolar metric space and prove some fixed point results in this framework. Our results generalize and extend some of the well-known results from the literature. We also explore some of the applications of our key results to integral equations. |
| first_indexed | 2024-03-10T03:38:00Z |
| format | Article |
| id | doaj.art-5242b3b56ca44e1bb7bd582a05724755 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:38:00Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-5242b3b56ca44e1bb7bd582a057247552023-11-23T09:25:20ZengMDPI AGMathematics2227-73902021-12-01924318110.3390/math9243181Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric SpacesGunaseelan Mani0Arul Joseph Gnanaprakasam1Zoran D. Mitrović2Monica-Felicia Bota3Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, IndiaDepartment of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai 603203, Tamil Nadu, IndiaFaculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and HerzegovinaDepartment of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaIn this paper, motivated by the recent result of Sezen, we introduce the notion of fuzzy triple controlled bipolar metric space and prove some fixed point results in this framework. Our results generalize and extend some of the well-known results from the literature. We also explore some of the applications of our key results to integral equations.https://www.mdpi.com/2227-7390/9/24/3181fuzzy metric spacefuzzy bipolar metric spacefuzzy triple controlled bipolar metric spacefixed points |
| spellingShingle | Gunaseelan Mani Arul Joseph Gnanaprakasam Zoran D. Mitrović Monica-Felicia Bota Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces Mathematics fuzzy metric space fuzzy bipolar metric space fuzzy triple controlled bipolar metric space fixed points |
| title | Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces |
| title_full | Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces |
| title_fullStr | Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces |
| title_full_unstemmed | Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces |
| title_short | Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces |
| title_sort | solving an integral equation via fuzzy triple controlled bipolar metric spaces |
| topic | fuzzy metric space fuzzy bipolar metric space fuzzy triple controlled bipolar metric space fixed points |
| url | https://www.mdpi.com/2227-7390/9/24/3181 |
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