Approximately cubic functional equations and cubic multipliers

Approximately cubic functional equations and cubic multipliers

In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic multipliers are superstable under some conditions. 2000 Mathematics Subject Classification: 39B82; 39B52.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of inequalities and applications 2011-09, Vol.2011 (1), p.1-8, Article 53
Hauptverfasser: Bodaghi, Abasalt, Alias, Idham Arif, Ghahramani, Mohammad Hossein
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Classification
cubic functional equation
Hyers-Ulam stability
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
multiplier
Multipliers
Stability
Superstability
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic multipliers are superstable under some conditions. 2000 Mathematics Subject Classification: 39B82; 39B52.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2011-53