The separation and compactness on fuzzy partial metric spaces
In this paper, we primarily examine various topological properties within fuzzy partial metric spaces (FPMS). First, we investigate the separation axioms of FPMS and demonstrate that the T 2 , T 3 , and T 4 axioms are equivalent under certain suitable conditions. Additionally, we introduce the concept of absolutely totally bounded FPMS, and prove that a FPMS is compact if and only if it is both absolutely totally bounded and complete.
Authors
- Zhenyu Jin (ORCID: https://orcid.org/0009-0000-9717-5293)
- Chong Shen (ORCID: https://orcid.org/0000-0001-5838-0438)
- Han Wang
Institutions
- Beijing University of Posts and Telecommunications (CN)
- Nanjing Normal University (CN)
- Suzhou University of Science and Technology (CN)
Publication Details
- Journal
- Fundamental Research
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1016/j.fmre.2025.02.003
- Citations
- 1
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- National Natural Science Foundation of China
- Natural Science Research of Jiangsu Higher Education Institutions of China