Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods

This paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of direct and fixed point approaches and 2-Banach...

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Bibliographic Details
Published in:Journal of function spaces 2022, Vol.2022, p.1-14
Main Authors: Uthirasamy, N., Tamilvanan, K., Kabeto, Masho Jima
Format: Article
Language:English
Subjects:
Banach spaces
Functional equations
Fuzzy sets
Inequality
Interferon
Stability
Theorems
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Summary:This paper introduces a new dimension of an additive functional equation and obtains its general solution. The main goal of this study is to examine the Ulam stability of this equation in IFN-spaces (intuitionistic fuzzy normed spaces) with the help of direct and fixed point approaches and 2-Banach spaces. Also, we use an appropriate counterexample to demonstrate that the stability of this equation fails in a particular case.
ISSN:2314-8896
2314-8888
DOI:10.1155/2022/8028634