Common fixed point theorems in fuzzy partial metric spaces of two pairs of mapping satisfying E.A. property
This paper establishes a common fixed point theorem for a pair of weakly compatible mappings in Fuzzy PMS satisfying the E.A. property. We introduce a new concept of E.A. Fuzzy Partial Metric spaces which generalizes the existing Fuzzy PMS. Our main result provides sufficient conditions for the existence of a common fixed point for two weakly compatible mappings in E.A. Fuzzy Partial Metric spaces. The results have significant implications for fuzzy topology, fixed-point theory, and applications in image processing, machine learning, and optimization problems involving uncertain or imprecise data.
Authors
- Rohini Gore
- Renu Pathak (ORCID: https://orcid.org/0000-0001-5310-3722)
Institutions
- Sandip Foundation (IN)
Publication Details
- Journal
- International Journal of Basic and Applied Sciences
- Published
- 2025-05-10
- DOI
- https://doi.org/10.14419/vn1fyj04
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00