Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 253040, 22 pages
doi:10.1155/2010/253040
Research Article

Fuzzy Stability of an Additive-Quadratic-Quartic Functional Equation

Choonkil Park

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

Received 27 August 2009; Accepted 30 November 2009

Academic Editor: Yeol J. E. Cho

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