Abstract and Applied Analysis
Volume 2011 (2011), Article ID 536520, 11 pages
http://dx.doi.org/10.1155/2011/536520
Research Article

Stability of an Additive-Cubic-Quartic Functional Equation in Multi-Banach Spaces

Zhihua Wang,1 Xiaopei Li,2 and Themistocles M. Rassias3

1School of Science, Hubei University of Technology, Wuhan, Hubei 430068, China
2Department of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, China
3Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece

Received 5 August 2011; Accepted 30 September 2011

Academic Editor: Narcisa C. Apreutesei

Copyright © 2011 Zhihua Wang et al. 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

We prove the Hyers-Ulam stability of the additive-cubic-quartic functional equation in multi-Banach spaces by using the fixed point alternative method. The first results on the stability in the multi-Banach spaces were presented in (Dales and Moslehian 2007).