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....

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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2022-01, Vol.40, p.1-14
Hauptverfasser: Zamani, Zahra, Yousefi, Bahman, Azadi Kenary, Hassan
Format: Artikel
Sprache:eng
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Zusammenfassung: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
DOI:10.5269/bspm.43662