Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations | Zendy

Zahra Zamani | Zendy; Bahman Yousefi | Zendy; Hassan Azadi Kenary | Zendy

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Fuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations

Author(s) -

Zahra Zamani,

Bahman Yousefi,

Hassan Azadi Kenary

Publication year - 2022

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.43662

Subject(s) - mathematics , banach space , stability (learning theory) , stability theorem , pure mathematics , functional equation , fuzzy logic , algebra over a field , mathematical analysis , computer science , differential equation , machine learning , cauchy distribution , artificial intelligence

In this paper we establish Hyers-Ulam-Rassias stability of a generalized functional equation in fuzzy Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-30.

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