Common fixed point theorems in fuzzy partial metric spaces of two pairs of ‎mapping satisfying E.A. property

Authors

How to Cite

Renu Pathak, & Gore, R. . (2025). Common fixed point theorems in fuzzy partial metric spaces of two pairs of ‎mapping satisfying E.A. property. International Journal of Basic and Applied Sciences, 14(1), 236-245. https://doi.org/10.14419/vn1fyj04

Received date: April 5, 2025

Accepted date: May 3, 2025

Published date: May 10, 2025

DOI:

https://doi.org/10.14419/vn1fyj04

Keywords:

Partial Metric Space; Fuzzy Metric Space; Weakly Compatible Mapping; Common Fixed

Abstract

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.

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How to Cite

Renu Pathak, & Gore, R. . (2025). Common fixed point theorems in fuzzy partial metric spaces of two pairs of ‎mapping satisfying E.A. property. International Journal of Basic and Applied Sciences, 14(1), 236-245. https://doi.org/10.14419/vn1fyj04

Received date: April 5, 2025

Accepted date: May 3, 2025

Published date: May 10, 2025