On deferred statistical convergence in fuzzy normed linear spaces
In this paper, we introduce the notions of deferred statistically convergent sequence and deferred statistically Cauchy sequence in a fuzzy normed linear space(FNS) and establish some basic facts. We also define deferred statistical limit points and deferred statistical cluster points of a sequence...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2025-03-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_204966_0f9913b82ed556a501c18c8cdd40e297.pdf |
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| _version_ | 1832577784079187968 |
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| author | Shyamal Debnath Santonu Debnath |
| author_facet | Shyamal Debnath Santonu Debnath |
| author_sort | Shyamal Debnath |
| collection | DOAJ |
| description | In this paper, we introduce the notions of deferred statistically convergent sequence and deferred statistically Cauchy sequence in a fuzzy normed linear space(FNS) and establish some basic facts. We also define deferred statistical limit points and deferred statistical cluster points of a sequence in FNS and investigate the relations between these concepts. |
| format | Article |
| id | doaj-art-fd7283c2ea44426194ebe6000441dbe2 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-fd7283c2ea44426194ebe6000441dbe22025-01-30T15:07:29ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532025-03-016111310.22105/jfea.2024.450104.1428204966On deferred statistical convergence in fuzzy normed linear spacesShyamal Debnath0Santonu Debnath1Department of Mathematics, Tripura University (A Central University), Suryamaninagar, Agartala, India.Department of Mathematics, Tripura University (A Central University), Suryamaninagar, Agartala, India.In this paper, we introduce the notions of deferred statistically convergent sequence and deferred statistically Cauchy sequence in a fuzzy normed linear space(FNS) and establish some basic facts. We also define deferred statistical limit points and deferred statistical cluster points of a sequence in FNS and investigate the relations between these concepts.https://www.journal-fea.com/article_204966_0f9913b82ed556a501c18c8cdd40e297.pdfstatistical cluster pointstatistical convergencefuzzy normed linear spacestatistical limit pointfuzzy number |
| spellingShingle | Shyamal Debnath Santonu Debnath On deferred statistical convergence in fuzzy normed linear spaces Journal of Fuzzy Extension and Applications statistical cluster point statistical convergence fuzzy normed linear space statistical limit point fuzzy number |
| title | On deferred statistical convergence in fuzzy normed linear spaces |
| title_full | On deferred statistical convergence in fuzzy normed linear spaces |
| title_fullStr | On deferred statistical convergence in fuzzy normed linear spaces |
| title_full_unstemmed | On deferred statistical convergence in fuzzy normed linear spaces |
| title_short | On deferred statistical convergence in fuzzy normed linear spaces |
| title_sort | on deferred statistical convergence in fuzzy normed linear spaces |
| topic | statistical cluster point statistical convergence fuzzy normed linear space statistical limit point fuzzy number |
| url | https://www.journal-fea.com/article_204966_0f9913b82ed556a501c18c8cdd40e297.pdf |
| work_keys_str_mv | AT shyamaldebnath ondeferredstatisticalconvergenceinfuzzynormedlinearspaces AT santonudebnath ondeferredstatisticalconvergenceinfuzzynormedlinearspaces |