Ulam Stability and Non-Stability of Additive Functional Equation in IFN-Spaces and 2-Banach Spaces by Different Methods. (9th March 2022)

• Record Type: Journal Article
• Authors: Uthirasamy, N.; Tamilvanan, K.; Kabeto, Masho Jima
• Other Names: Et Mikail Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-03-09
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/8028634
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.