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....
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Emerald Publishing
2015-01-01
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Series: | Arab Journal of Mathematical Sciences |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1319516614000024 |