Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces
In this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS)....
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6897038 |
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| _version_ | 1832546043327152128 |
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| author | Ömer Kişi |
| author_facet | Ömer Kişi |
| author_sort | Ömer Kişi |
| collection | DOAJ |
| description | In this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS). Also, we give the notions of Wijsman strongly ℐ2∗-lacunary convergence, Wijsman strongly ℐ2-lacunary Cauchy, and Wijsman strongly ℐ2∗-lacunary Cauchy set sequence in IFMS and establish noteworthy results. |
| format | Article |
| id | doaj-art-22e4293eac044e3781f1005314de0718 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-22e4293eac044e3781f1005314de07182025-02-03T07:23:54ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/68970386897038Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric SpacesÖmer Kişi0Department of Mathematics, Bartın University, Bartın, TurkeyIn this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the intuitionistic fuzzy metric spaces (briefly, IFMS). Also, we give the notions of Wijsman strongly ℐ2∗-lacunary convergence, Wijsman strongly ℐ2-lacunary Cauchy, and Wijsman strongly ℐ2∗-lacunary Cauchy set sequence in IFMS and establish noteworthy results.http://dx.doi.org/10.1155/2021/6897038 |
| spellingShingle | Ömer Kişi Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces Journal of Mathematics |
| title | Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_full | Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_fullStr | Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_full_unstemmed | Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_short | Some New Observations on Wijsman ℐ2-Lacunary Statistical Convergence of Double Set Sequences in Intuitionistic Fuzzy Metric Spaces |
| title_sort | some new observations on wijsman i2 lacunary statistical convergence of double set sequences in intuitionistic fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2021/6897038 |
| work_keys_str_mv | AT omerkisi somenewobservationsonwijsmani2lacunarystatisticalconvergenceofdoublesetsequencesinintuitionisticfuzzymetricspaces |