BEST PROXIMITY POINT RESULTS FOR FUZZY Z-PROXIMAL CONTRACTIONS IN FUZZY METRIC SPACES
In this manuscript, we introduce the concept of fuzzy -proximal contractions in the framework of fuzzy metric spaces. Additionally, we present novel findings regarding the existence and the uniqueness of best proximity points for such contractions in complete fuzzy metric spaces. These new findings extend and generalize certain results in the existing literature. Examples are included to support our findings.
Authors
- Zabidin Salleh (ORCID: https://orcid.org/0000-0001-5877-9051)
Institutions
- Universiti Malaysia Terengganu (MY)
Publication Details
- Journal
- Journal of Mathematical Sciences and Informatics
- Published
- 2024-12-31
- DOI
- https://doi.org/10.46754/jmsi.2024.12.006
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Universiti Malaysia Terengganu