International Journal of Mathematical Sciences and Computing (IJMSC)
IJMSC Vol. 11, No. 3, 8 Oct. 2025
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Fixed Point Results in the Fuzzy Multiplicative Metric Spaces and Application
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Author(s)
Solomon Zerfu Degefa
1
Vizender Singh
1,*
Kuldeep Singh
1
Ankit Bamel
1
Yohannes Gebru Aemro
2
Index Terms
Fixed Point, Multiplicative Metric Spaces, Fuzzy Multiplicative Metric Spaces, Integral Equation
Abstract
This paper presents the development of fuzzy multiplicative metric spaces, an extended framework that combines the principles of multiplicative metric spaces with fuzzy logic to better address uncertainty and imprecision inherent in many real-world problems. By replacing additive distance measures with multiplicative ones, this approach proves particularly effective in contexts where relative variations or proportional relationships are more meaningful than absolute differences. Within this generalized setting, we establish a series of fixed-point theorems of Banach, Kannan, and Chatterjea types, along with related corollaries, each supported by concrete examples. The theoretical results are further validated through their application to the solution of nonlinear integral equations, demonstrating the versatility and applicability of the proposed framework across mathematical analysis and applied disciplines.
Cite This Paper
Solomon Zerfu Degefa, Vizender Singh, Kuldeep Singh, Ankit Bamel, Yohannes Gebru Aemro, "Fixed Point Results in the Fuzzy Multiplicative Metric Spaces and Application", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.11, No.3, pp. 58-72, 2025. DOI: 10.5815/ijmsc.2025.03.05
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