Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces
In the present work, we study and extend the notion of Wijsman J–convergence and Wijsman J∗–convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman J∗–Cauchy and J–Cauc...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/7892913 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849467859688751104 |
|---|---|
| author | Ayhan Esi Vakeel A. Khan Mobeen Ahmad Masood Alam |
| author_facet | Ayhan Esi Vakeel A. Khan Mobeen Ahmad Masood Alam |
| author_sort | Ayhan Esi |
| collection | DOAJ |
| description | In the present work, we study and extend the notion of Wijsman J–convergence and Wijsman J∗–convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman J∗–Cauchy and J–Cauchy sequence in the intuitionistic fuzzy metric space and observe some properties. |
| format | Article |
| id | doaj-art-e0e1f44c8b294ef786b6b89cb28bb43c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e0e1f44c8b294ef786b6b89cb28bb43c2025-08-20T03:26:00ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/78929137892913Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric SpacesAyhan Esi0Vakeel A. Khan1Mobeen Ahmad2Masood Alam3Malatya Turgut Ozal University Engineering Faculty Dept. of Basic Engineering Sciences Malatya, Malatya 44040, TurkeyDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics and IT Center for Preparatory Studies, Sultan Qaboos University, P. O. Box 162 PC 123 Muscat, OmanIn the present work, we study and extend the notion of Wijsman J–convergence and Wijsman J∗–convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman J∗–Cauchy and J–Cauchy sequence in the intuitionistic fuzzy metric space and observe some properties.http://dx.doi.org/10.1155/2020/7892913 |
| spellingShingle | Ayhan Esi Vakeel A. Khan Mobeen Ahmad Masood Alam Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces Journal of Function Spaces |
| title | Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces |
| title_full | Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces |
| title_fullStr | Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces |
| title_full_unstemmed | Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces |
| title_short | Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces |
| title_sort | some results on wijsman ideal convergence in intuitionistic fuzzy metric spaces |
| url | http://dx.doi.org/10.1155/2020/7892913 |
| work_keys_str_mv | AT ayhanesi someresultsonwijsmanidealconvergenceinintuitionisticfuzzymetricspaces AT vakeelakhan someresultsonwijsmanidealconvergenceinintuitionisticfuzzymetricspaces AT mobeenahmad someresultsonwijsmanidealconvergenceinintuitionisticfuzzymetricspaces AT masoodalam someresultsonwijsmanidealconvergenceinintuitionisticfuzzymetricspaces |