Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods
- Resource Type
- article
- Authors
- N. Uthirasamy; K. Tamilvanan; Masho Jima Kabeto
- Source
- Journal of Function Spaces, Vol 2022 (2022)
- Subject
- Mathematics
QA1-939
- Language
- English
- ISSN
- 2314-8888
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.