Open AccessFuzzy Hyers-Ulam-Rassias stability for generalized additive functional equations
Author(s) -
Zahra Zamani,
B. 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.