A fixed points approach to stability of the Pexider equation

A fixed points approach to stability of the Pexider equation

Using the fixed point theorem we establish the Hyers-Ulam-Rassias stability of the generalized Pexider functional equation from a normed space E into a complete β-normed space F, where K is a finite abelian subgroup of the automorphism group of the group (E; +).

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Tbilisi Mathematical Journal 2014-12, Vol.7 (2)
Hauptverfasser: Bouikhalene, B., Elqorachi, E., Rassias, J. M.
Format: Artikel
Sprache:eng
Schlagworte:
fixed point
Pexider equation
Stability of functional equation
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Using the fixed point theorem we establish the Hyers-Ulam-Rassias stability of the generalized Pexider functional equation from a normed space E into a complete β-normed space F, where K is a finite abelian subgroup of the automorphism group of the group (E; +).
ISSN:1875-158X
1512-0139
DOI:10.2478/tmj-2014-0021