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Exploring soft super metric spaces and their fixed soft points |
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| รหัสดีโอไอ | |
| Creator | Arzu Erdem Coskun |
| Title | Exploring soft super metric spaces and their fixed soft points |
| Contributor | Cigdem Aras Gunduz, Sadi Bayramov |
| Publisher | Maejo University |
| Publication Year | 2568 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 19 |
| Journal No. | 3 |
| Page no. | 249 |
| Keyword | soft super metric spaces, fixed point theorems, weakly compatible mappings |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | This paper introduces and examines the concept of soft super metric spaces, which combines the framework of soft set theory with the properties of super metric spaces. We establish fundamental definitions and properties of soft super metric spaces, and present several fixed point theorems for self-soft mappings on complete soft super metric spaces. The main results include theorems establishing the existence and uniqueness of fixed soft points for soft contraction mappings and surjective soft mappings. Additionally, we prove fixed point theorems for weakly compatible mappings under various conditions. These results extend classical fixed point theory to accommodate uncertainty and parameterisation through the soft set framework. |
