Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 732086, 11 pages
doi:10.1155/2008/732086
Research Article
A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution
1Mathematics Section, College of Science and Technology, Hong-Ik University, Chochiwon 339-701, South Korea
2Department of Mathematics, Chungnam National University, Deajeon 305-764, South Korea
Received 27 September 2007; Accepted 26 November 2007
Academic Editor: Tomas Domínguez Benavides
Copyright © 2008 Soon-Mo Jung and Zoon-Hee Lee. 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
Cădariu and Radu applied the fixed point method to the investigation of Cauchy and
Jensen functional equations. In this paper, we will adopt the idea of Cădariu and
Radu to prove the Hyers-Ulam-Rassias stability of the quadratic functional equation
with involution.