Open Access

A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution

Fixed Point Theory and Applications20082008:732086

https://doi.org/10.1155/2008/732086

Received: 27 September 2007

Accepted: 26 November 2007

Published: 10 June 2008

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.

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Authors’ Affiliations

(1)
Mathematics Section, College of Science and Technology, Hong-Ik University
(2)
Department of Mathematics, Chungnam National University

Copyright

© S.-M. Jung and Z.-H. Lee. 2008

This article is published under license to BioMed Central Ltd. 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.