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

N. Uthirasamy | Zendy; K. Tamilvanan | Zendy; Masho Jima Kabeto | Zendy

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

Author(s) -

N. Uthirasamy,

K. Tamilvanan,

Masho Jima Kabeto

Publication year - 2022

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2022/8028634

Subject(s) - mathematics , banach space , stability (learning theory) , counterexample , functional equation , pure mathematics , mathematical analysis , discrete mathematics , partial differential equation , computer science , machine learning

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.

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