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

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....

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Bibliographic Details
Main Authors: A.B. Chahbi, A. Charifi, B. Bouikhalene, S. Kabbaj
Format: Article
Language:English
Published: Emerald Publishing 2015-01-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516614000024