Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming
In this paper, we introduce the <i>b</i>-triangular property in fuzzy <i>b</i>-metric space. Furthermore, we give some new fixed point results in fuzzy <i>b</i>-metric space for non-continuous mappings. Our results generalize and expand some results from the relat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/19/4101 |
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| author | Gunaseelan Mani Arul Joseph Gnanaprakasam Liliana Guran Reny George Zoran D. Mitrović |
| author_facet | Gunaseelan Mani Arul Joseph Gnanaprakasam Liliana Guran Reny George Zoran D. Mitrović |
| author_sort | Gunaseelan Mani |
| collection | DOAJ |
| description | In this paper, we introduce the <i>b</i>-triangular property in fuzzy <i>b</i>-metric space. Furthermore, we give some new fixed point results in fuzzy <i>b</i>-metric space for non-continuous mappings. Our results generalize and expand some results from the related literature. Two applications of our results, to solving Fredholm integral equation and in dynamic programming, are also given. |
| first_indexed | 2024-03-10T21:40:20Z |
| format | Article |
| id | doaj.art-fd22b7749e9044569f858b92cd4a4380 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T21:40:20Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-fd22b7749e9044569f858b92cd4a43802023-11-19T14:43:22ZengMDPI AGMathematics2227-73902023-09-011119410110.3390/math11194101Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-Triangular Property and Applications to Fredholm Integral Equations and Dynamic ProgrammingGunaseelan Mani0Arul Joseph Gnanaprakasam1Liliana Guran2Reny George3Zoran D. Mitrović4Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, IndiaDepartment of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Tamil Nadu, IndiaDepartment of Pharmaceutical Sciences, “Vasile Goldiş” Western University of Arad, L. Rebreanu Street, No. 86, 310048 Arad, RomaniaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaFaculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and HerzegovinaIn this paper, we introduce the <i>b</i>-triangular property in fuzzy <i>b</i>-metric space. Furthermore, we give some new fixed point results in fuzzy <i>b</i>-metric space for non-continuous mappings. Our results generalize and expand some results from the related literature. Two applications of our results, to solving Fredholm integral equation and in dynamic programming, are also given.https://www.mdpi.com/2227-7390/11/19/4101fuzzy metric spacesfuzzy b-metric spaceb-triangular propertyfixed pointintegral equationdynamic programming |
| spellingShingle | Gunaseelan Mani Arul Joseph Gnanaprakasam Liliana Guran Reny George Zoran D. Mitrović Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming Mathematics fuzzy metric spaces fuzzy b-metric space b-triangular property fixed point integral equation dynamic programming |
| title | Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming |
| title_full | Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming |
| title_fullStr | Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming |
| title_full_unstemmed | Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming |
| title_short | Some Results in Fuzzy <i>b</i>-Metric Space with <i>b</i>-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming |
| title_sort | some results in fuzzy i b i metric space with i b i triangular property and applications to fredholm integral equations and dynamic programming |
| topic | fuzzy metric spaces fuzzy b-metric space b-triangular property fixed point integral equation dynamic programming |
| url | https://www.mdpi.com/2227-7390/11/19/4101 |
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