On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property
In the present paper, we prove common fixed point without continuity by using triangular property on fuzzy b-metric space. Our results generalize and expand some of the literature's well-known results. We also explore some of the application of our key results to Fredholm integral equation.
| Päätekijät: | , , , , |
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| Aineistotyyppi: | Artikkeli |
| Kieli: | English |
| Julkaistu: |
AIMS Press
2022-04-01
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| Sarja: | AIMS Mathematics |
| Aiheet: | |
| Linkit: | https://www.aimspress.com/article/doi/10.3934/math.2022620?viewType=HTML |
| _version_ | 1828407507645628416 |
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| author | Gunaseelan Mani Arul Joseph Gnanaprakasam Absar Ul Haq Imran Abbas Baloch Choonkil Park |
| author_facet | Gunaseelan Mani Arul Joseph Gnanaprakasam Absar Ul Haq Imran Abbas Baloch Choonkil Park |
| author_sort | Gunaseelan Mani |
| collection | DOAJ |
| description | In the present paper, we prove common fixed point without continuity by using triangular property on fuzzy b-metric space. Our results generalize and expand some of the literature's well-known results. We also explore some of the application of our key results to Fredholm integral equation. |
| first_indexed | 2024-12-10T11:25:48Z |
| format | Article |
| id | doaj.art-8b39e36bf8d74f10a747e6a0116e7ec2 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-10T11:25:48Z |
| publishDate | 2022-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8b39e36bf8d74f10a747e6a0116e7ec22022-12-22T01:50:44ZengAIMS PressAIMS Mathematics2473-69882022-04-0176111021111810.3934/math.2022620On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular propertyGunaseelan Mani0Arul Joseph Gnanaprakasam1Absar Ul Haq 2Imran Abbas Baloch 3Choonkil Park41. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India2. Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, India3. Department of Natural Sciences and Humanities, University of Engineering and Technology (Narowal Campus), Lahore 54000, Pakistan4. Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan 5. Higher Education Department, Govt. Graduate College for Boys Gulberg Lahore, Punjab, Pakistan6. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaIn the present paper, we prove common fixed point without continuity by using triangular property on fuzzy b-metric space. Our results generalize and expand some of the literature's well-known results. We also explore some of the application of our key results to Fredholm integral equation.https://www.aimspress.com/article/doi/10.3934/math.2022620?viewType=HTMLfuzzy metric spacesfuzzy b-metric spacecommon fixed point |
| spellingShingle | Gunaseelan Mani Arul Joseph Gnanaprakasam Absar Ul Haq Imran Abbas Baloch Choonkil Park On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property AIMS Mathematics fuzzy metric spaces fuzzy b-metric space common fixed point |
| title | On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property |
| title_full | On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property |
| title_fullStr | On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property |
| title_full_unstemmed | On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property |
| title_short | On solution of Fredholm integral equations via fuzzy b-metric spaces using triangular property |
| title_sort | on solution of fredholm integral equations via fuzzy b metric spaces using triangular property |
| topic | fuzzy metric spaces fuzzy b-metric space common fixed point |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022620?viewType=HTML |
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