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

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 res...

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Published inInternational journal of analysis and applications Vol. 23; p. 148
Main Authors Senthil, Gowri, Sudharsan, S., Priya, V. Banu, Annadurai, S., Ganapathy, G., Vijayalakshmi, A.
Format Journal Article
LanguageEnglish
Published 01.01.2025
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ISSN2291-8639
2291-8639
DOI10.28924/2291-8639-23-2025-148

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Summary: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.
ISSN:2291-8639
2291-8639
DOI:10.28924/2291-8639-23-2025-148