Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation

Arab Journal of Mathematical Sciences

A.B. Chahbi¹  S. Kabbaj¹  A. Charifi¹  B. Bouikhalene² 

[1] Department of Mathematics, Faculty of Sciences, University of Ibn Tofail, Kenitra, Morocco;Laboratory LIRST, Polydisciplinary Faculty, Department of Mathematics, University Sultan Moulay Slimane, Beni-Mellal, Morocco;

关键词: Group automorphisms;    Jensen functional equation;    Quadratic functional equation;    K-quadratic functional equation;    Pexider functional equation;    Non-Archimedean Hyers–Ulam stability;   

DOI  :  10.1016/j.ajmsc.2014.01.001

来源: DOAJ

【 摘 要 】

We use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E, where f,g,h:E→F are applications and K is a finite subgroup of the group of automorphisms of E and κ is its order.

【 授权许可】

Unknown