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Discontinuity, Nonlinearity, and Complexity 14(4) (2025) 707--717 | DOI:10.5890/DNC.2025.12.007

Solomon Zerfu Degefa$^{1}$, Vizender Singh$^2$, Yohannes Gebru Aemro$^{3}$

$^{1}$ Research Scholar, Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar-125001, Haryana, India

$^{2}$ Department of Mathematics, Guru Jambheshwar University of Science & Technology, Hisar-125001, Haryana, India

$^{3}$ Department of Mathematics, Wolkite University, Wolkite, Ethiopia

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Abstract

In the present paper, we announced a new notion of ``generalized $N$-fuzzy metric spaces" which explores a more broad view of fuzzy metric spaces mentioned in the reviewed literatures. A fixed point theorem in the setting of Generalized $N$-fuzzy metric space via fuzzy $n$-Banach Contraction mapping was proved. Finally, we demonstrated an application of main results in solving integral equation.

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