Hyers-Ulam Stability of N-Dimensional Additive Functional Equation in Modular Spaces Using Fixed Point Method

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DOI: https://doi.org/10.28924/2291-8639-23-2025-148
Published: Jun 26, 2025
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Gowri Senthil, S. Sudharsan, V. Banu Priya, S. Annadurai, G. Ganapathy, A. Vijayalakshmi, Hyers-Ulam Stability of N-Dimensional Additive Functional Equation in Modular Spaces Using Fixed Point Method, Int. J. Anal. Appl., 23 (2025), 148.

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Gowri Senthil, S. Sudharsan, V. Banu Priya, S. Annadurai, G. Ganapathy, A. Vijayalakshmi

Abstract

The Hyers–Ulam stability of functional equations is a subject of mathematical research that examines the approximate validity of these equations. This notion investigates if a function that nearly fulfills a specified functional equation must be near a precise solution of that equation. Numerous research have investigated this domain, examining the stability of diverse functional equations under varying situations. In this present work, we investigated Hyers-Ulam stability of a n-dimensional additive functional equation in modular spaces using the fixed point approach with the help of Fatou property.

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