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.

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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
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article

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

Rohini Gore, Renu Pathak
International Journal of Basic and Applied Sciences
Fixed Point Theorems Analysis
article

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

Rohini Gore, Renu Pathak
article en

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.

International Journal of Basic and Applied SciencesVol. 14(1)
Sandip Foundation (IN)
Openalex Percentile: Top 85%
Fixed Point Theorems Analysis
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