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On partial fuzzy metric-preserving functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 5، دوره 14، شماره 10، دی 2023، صفحه 43-55 اصل مقاله (392.67 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28609.3940 | ||
| نویسندگان | ||
| Elif Güner* ؛ Halis Aygün | ||
| Department of Mathematics, Faculty of Arts and Science, Kocaeli University, 41380, Kocaeli, Turkey | ||
| تاریخ دریافت: 12 مهر 1401، تاریخ بازنگری: 11 خرداد 1402، تاریخ پذیرش: 28 تیر 1402 | ||
| چکیده | ||
| The target of this paper is to present partial fuzzy metric-preserving functions and characterize the functions $f:[0,1]\to[0,1]$ with this aspect. We give a characterization for partial fuzzy metric-preserving functions considering the different t-norms. Also, we show that the topology induced by partial fuzzy metric does not preserve under these functions with an example. Then we give a characterization of those partial fuzzy metric-preserving functions which preserve completeness and contractivity under some conditions. Finally, we discussed the relation between fuzzy metric preserving and partial fuzzy preserving functions. | ||
| کلیدواژه‌ها | ||
| fuzzy partial metric spaces؛ metric-preserving functions؛ contraction mapping؛ completeness | ||
| مراجع | ||
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