Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces
In this paper, we introduce the concepts of statistical convergence and statistical Cauchy sequences with respect to the intuitionistic fuzzy metric spaces inspired by the idea of statistical convergence in fuzzy metric spaces. Then, we give useful characterizations for statistically convergent sequ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-04-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/11/4/159 |
| _version_ | 1797436868611014656 |
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| author | Banu Pazar Varol |
| author_facet | Banu Pazar Varol |
| author_sort | Banu Pazar Varol |
| collection | DOAJ |
| description | In this paper, we introduce the concepts of statistical convergence and statistical Cauchy sequences with respect to the intuitionistic fuzzy metric spaces inspired by the idea of statistical convergence in fuzzy metric spaces. Then, we give useful characterizations for statistically convergent sequences and statistically Cauchy sequences. |
| first_indexed | 2024-03-09T11:09:49Z |
| format | Article |
| id | doaj.art-23739058a001435ea7e8aa20a3190ca1 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T11:09:49Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-23739058a001435ea7e8aa20a3190ca12023-12-01T00:48:20ZengMDPI AGAxioms2075-16802022-04-0111415910.3390/axioms11040159Statistically Convergent Sequences in Intuitionistic Fuzzy Metric SpacesBanu Pazar Varol0Department of Mathematics, Kocaeli University, 41001 İzmit, TurkeyIn this paper, we introduce the concepts of statistical convergence and statistical Cauchy sequences with respect to the intuitionistic fuzzy metric spaces inspired by the idea of statistical convergence in fuzzy metric spaces. Then, we give useful characterizations for statistically convergent sequences and statistically Cauchy sequences.https://www.mdpi.com/2075-1680/11/4/159statistical convergenceintuitionistic fuzzy metricstatistically convergent sequencestatistically Cauchy sequence |
| spellingShingle | Banu Pazar Varol Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces Axioms statistical convergence intuitionistic fuzzy metric statistically convergent sequence statistically Cauchy sequence |
| title | Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_full | Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_fullStr | Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_full_unstemmed | Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_short | Statistically Convergent Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_sort | statistically convergent sequences in intuitionistic fuzzy metric spaces |
| topic | statistical convergence intuitionistic fuzzy metric statistically convergent sequence statistically Cauchy sequence |
| url | https://www.mdpi.com/2075-1680/11/4/159 |
| work_keys_str_mv | AT banupazarvarol statisticallyconvergentsequencesinintuitionisticfuzzymetricspaces |