Compatible Mappings of Type (K) in Fuzzy Metric Space

Nandu Prasad Koiri; Ajay Kumar Chaudhary; Rajeev Kumar; K. B. Manandhar

doi:10.3126/jist.v30i1.76304

June 28, 2025Journal of Institute of Science and TechnologyOpen Access

Compatible Mappings of Type (K) in Fuzzy Metric Space

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Key Points

The study identifies a general fixed-point theorem for three self-mappings under compatible mappings in fuzzy metric space, enhancing previous findings.
The paper presents new conditions that are crucial for establishing fixed-point results, particularly for self-mappings and their compatibility.
It builds upon earlier works by Manandhar and Cho, expanding the understanding of fixed-point theorems within the framework of fuzzy metric spaces.
Findings suggest that these compatible mappings can lead to more robust solutions in fuzzy metric spaces, inviting further research in this domain.

Implication

This analysis reveals a generalized fixed-point theorem for self-mappings in fuzzy metric spaces, indicating the importance of compatible mappings.

Abstract

This paper discusses common fixed-point theorem in fuzzy metric space for three self-mappings by using the conditions of compatible mappings of type (K). This theorem generalizes the results of K.B. Manandhar et al. (2014), and also the results of Cho (2006).

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Cite This Study

Koiri et al. (2025) studied this question.

synapsesocial.com/papers/68c1afb954b1d3bfb60e7194 https://doi.org/10.3126/jist.v30i1.76304

View Full Paper

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Compatible Mappings of Type (K) in Fuzzy Metric Space

Key Points

Implication

Abstract

Discussion

Cite This Study

Compatible Mappings of Type (K) in Fuzzy Metric Space

Key Points

Implication

Abstract

Discussion

Cite This Study

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