Fixed Points and the Stability of an AQCQ-Functional Equation in Non-Archimedean Normed Spaces

Using fixed point method, we prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x−2y)=4f(x+y)+4f(x−y)−6f(x)+f(2y)+f(−2y)−4f(y)−4f(−y) in non-Archimedean Banach spaces.

Bibliographic Details
Main Author: Choonkil Park
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2010/849543