Fixed Point Theorems in Fuzzy Partial Metric Spaces
Inspired by the work of Gregori et al. and guided by some open direction, we propose the concepts of Cauchy sequence and convergent sequence in a fuzzy partial metric space by the residuum operator associated to a continuous t-norm. Based on these notions, we introduce the concepts of two kinds of fuzzy η-contractive mappings in fuzzy partial metric spaces and present related fixed point theorems.
Authors
- Dingwei Zheng (ORCID: https://orcid.org/0000-0001-6961-1625)
- Q.‐C. He
Institutions
- Guangxi University (CN)
Publication Details
- Journal
- Mathematics
- Published
- 2025-08-16
- DOI
- https://doi.org/10.3390/math13162632
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China