A generalization of the banach contraction principle in fuzzy metric spaces and its application to the analysis of RLC circuits

This paper establishes a fixed point result on fuzzy metric spaces for the mappings satisfying contractive conditions involving an Archimedean t -conorm. Our results extend and generalize the famous Banach contraction principle and a recent result on fuzzy metric spaces. We show that our fixed point results are applicable to establish the existence of a unique solution (response) to the initial value problem that occurs in the study of parallel RLC circuits.

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Publication Details

Journal
Journal of Intelligent & Fuzzy Systems
Published
2026-09-28
DOI
https://doi.org/10.1177/18758967261492003
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

A generalization of the banach contraction principle in fuzzy metric spaces and its application to the analysis of RLC circuits

Nikita Dubey, Arpita Bairagi, Rahul Shukla, Satish Shukla
Journal of Intelligent & Fuzzy Systems
Fixed Point Theorems Analysis
article

A generalization of the banach contraction principle in fuzzy metric spaces and its application to the analysis of RLC circuits

Nikita Dubey, Arpita Bairagi, Rahul Shukla, Satish Shukla
article en

Abstract

This paper establishes a fixed point result on fuzzy metric spaces for the mappings satisfying contractive conditions involving an Archimedean t -conorm. Our results extend and generalize the famous Banach contraction principle and a recent result on fuzzy metric spaces. We show that our fixed point results are applicable to establish the existence of a unique solution (response) to the initial value problem that occurs in the study of parallel RLC circuits.

Journal of Intelligent & Fuzzy Systems
Walter Sisulu University (ZA)
Openalex Percentile: Top 6%
Fixed Point Theorems Analysis
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