Abstract and Applied Analysis
Volume 2010 (2010), Article ID 849543, 15 pages
doi:10.1155/2010/849543
Research Article

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

Choonkil Park

Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of Korea

Received 8 January 2010; Accepted 8 April 2010

Academic Editor: W. A. Kirk

Copyright © 2010 Choonkil Park. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.