Hyers-Ulam-Rassias stability of cubic functional equations in fuzzy normed spaces

Hyers-Ulam-Rassias stability of cubic functional equations in fuzzy normed spaces

In this paper, two cubic functional equations are shown to be equivalent, Hyers-Ulam-Rassias stability of them is proved under some suitable conditions by the fixed point method in fuzzy normed spaces. Moreover, the fuzzy continuity of the solution of the functional equation is discussed.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:AIMS mathematics 2022-01, Vol.7 (5), p.8574-8587
Hauptverfasser: Lu, Lingxiao, Wu, Jianrong
Format: Artikel
Sprache:eng
Schlagworte:
cubic functional equation
fuzzy continuity
fuzzy normed space
hyers-ulam-rassias stability
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, two cubic functional equations are shown to be equivalent, Hyers-Ulam-Rassias stability of them is proved under some suitable conditions by the fixed point method in fuzzy normed spaces. Moreover, the fuzzy continuity of the solution of the functional equation is discussed.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022478