A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE
In this article, a concept of fuzzy F -metric space, which is a generalization of George & Veeramani-type fuzzy metric space, is introduced. Concepts of convergent sequence, Cauchy sequence, completeness etc. are given, and we study some properties in such spaces. Finally, some topological resul...
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2024-11-01
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| Series: | Проблемы анализа |
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| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16071&lang=en |
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| author | A. Das D. Barman T. Bag |
| author_facet | A. Das D. Barman T. Bag |
| author_sort | A. Das |
| collection | DOAJ |
| description | In this article, a concept of fuzzy F -metric space, which is a generalization of George & Veeramani-type fuzzy metric space, is introduced. Concepts of convergent sequence, Cauchy sequence, completeness etc. are given, and we study some properties in such spaces. Finally, some topological results are established. |
| format | Article |
| id | doaj-art-e35af1d535ca486d9bb89a3f150df5c7 |
| institution | Kabale University |
| issn | 2306-3424 2306-3432 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj-art-e35af1d535ca486d9bb89a3f150df5c72025-01-28T10:38:37ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322024-11-0113 (31)322210.15393/j3.art.2024.16071A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACEA. Das0D. Barman1T. Bag2Department of Mathematics, Siksha-Bhavana, Visva-BharatiDepartment of Mathematics, Siksha-Bhavana, Visva-BharatiDepartment of Mathematics, Siksha-Bhavana, Visva-BharatiIn this article, a concept of fuzzy F -metric space, which is a generalization of George & Veeramani-type fuzzy metric space, is introduced. Concepts of convergent sequence, Cauchy sequence, completeness etc. are given, and we study some properties in such spaces. Finally, some topological results are established.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16071&lang=en𝑡-normfuzzy metricfuzzy b-metricfuzzy f -metric |
| spellingShingle | A. Das D. Barman T. Bag A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE Проблемы анализа 𝑡-norm fuzzy metric fuzzy b-metric fuzzy f -metric |
| title | A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE |
| title_full | A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE |
| title_fullStr | A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE |
| title_full_unstemmed | A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE |
| title_short | A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE |
| title_sort | new generalization of george veeramani type fuzzy metric space |
| topic | 𝑡-norm fuzzy metric fuzzy b-metric fuzzy f -metric |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16071&lang=en |
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