Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 107182, 7 pages
doi:10.1155/2010/107182
Research Article

Intuitionistic Fuzzy Stability of a Quadratic Functional Equation

Liguang Wang

School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Received 6 October 2010; Accepted 23 December 2010

Academic Editor: B. Rhoades

Copyright © 2010 Liguang Wang. 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 consider the intuitionistic fuzzy stability of the quadratic functional equation 𝑓 ( 𝑘 𝑥 + 𝑦 ) + 𝑓 ( 𝑘 𝑥 − 𝑦 ) = 2 𝑘 2 𝑓 ( 𝑥 ) + 2 𝑓 ( 𝑦 ) by using the fixed point alternative, where 𝑘 is a positive integer.