Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 460912, 10 pages
doi:10.1155/2009/460912
Research Article

Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach

Zhihua Wang1,2 and Wanxiong Zhang3

1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
2School of Science, Hubei University of Technology, Wuhan, Hubei 430068, China
3College of Mathematics and Physics, Chongqing University, Chongqing 400044, China

Received 25 April 2009; Revised 31 July 2009; Accepted 16 August 2009

Academic Editor: Massimo Furi

Copyright © 2009 Zhihua Wang and Wanxiong Zhang. 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

The fixed point alternative methods are implemented to give generalized Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy version. This method introduces a metrical context and shows that the stability is related to some fixed point of a suitable operator.