Solution and Fuzzy Stability of n-Dimensional Quadratic Functional Equation

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DOI: https://doi.org/10.28924/2291-8639-23-2025-83
Published: Mar 31, 2025
Cite as:
K. Indira, P. Agilan, M. Suresh, Manivannan Balamurugan, S. Karthikeyan, R. Sakthi, Solution and Fuzzy Stability of n-Dimensional Quadratic Functional Equation, Int. J. Anal. Appl., 23 (2025), 83.

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K. Indira, P. Agilan, M. Suresh, Manivannan Balamurugan, S. Karthikeyan, R. Sakthi

Abstract

In this paper, the authors have developed and established the solution of the n-dimensional quadratic functional equation within the context of a vector space, specifically focusing on its properties and behavior in fuzzy normed spaces. They not only provide an explicit form of the solution but also investigate the stability of this solution under various perturbations. By extending the classical stability results to the setting of fuzzy normed spaces, the authors explore how uncertainties, represented by fuzzy norms, affect the solution’s stability.

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