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

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...

Full description

Bibliographic Details
Main Authors: Zahra Zamani, Bahman Yousefi, Hassan Azadi Kenary
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/43662
Description
Summary: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.
ISSN:0037-8712
2175-1188