Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 918785, 24 pages
doi:10.1155/2009/918785
Research Article

A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation

Choonkil Park

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

Received 23 August 2009; Revised 18 October 2009; Accepted 23 October 2009

Academic Editor: Fabio Zanolin

Copyright © 2009 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-cubic functional equation f(x+2y)+f(x−2y) = 2f(x+y)−2f(−x−y)+2f(x−y)−2f(y−x)+f(2y)+f(−2y)+4f(−x)−2f(x) in fuzzy Banach spaces.