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Soft Wijsman convergence |
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| รหัสดีโอไอ | |
| Creator | Erdal Bayram |
| Title | Soft Wijsman convergence |
| Contributor | Melisa Dervisoglu Cinar |
| Publisher | Maejo University |
| Publication Year | 2567 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 18 |
| Journal No. | 3 |
| Page no. | 267 |
| Keyword | soft set, soft Wijsman convergence, soft Hausdorff convergence, soft Wijsman bounded |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | This study presents results of the Wijsman convergence of sequences of sets, a topic with numerous applications, within the framework of soft set theory. We introduce the concept of Wijsman convergence for sequences of soft closed sets in soft metric spaces and provide several foundational results. Additionally, we define the notions of soft Wijsman boundedness and soft Wijsman Cauchy sequences and explore their interrelationships and connections to convergence. In parallel to Hausdorff convergence, we first define the concept of soft Hausdorff distance and then introduce soft Hausdorff convergence with relevant results. Finally, we make a comparison between soft Wijsman convergence and soft Hausdorff convergence. |