Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 671514, 11 pages
Research Article

Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation

1Mathematics Branch, Seoul Science High School, Seoul 110-530, Republic of Korea
2Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Republic of Korea

Received 23 December 2010; Revised 28 February 2011; Accepted 28 February 2011

Academic Editor: Yeol J. Cho

Copyright © 2011 Min June Kim 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.


Using the fixed-point method, we prove the generalized Hyers-Ulam stability of a generalized Apollonius type quadratic functional equation in random Banach spaces.