Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 824257, 19 pages
Non-Archimedean Hyers-Ulam Stability of an Additive-Quadratic Mapping
1Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran
2Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
3Department of Mathematics, Islamic Azad University, Firoozabad Branch, Firoozabad, Iran
4Department of Mathematics Education, College of Education, Mokwon University, Daejeon 302-729, Republic of Korea
Received 10 October 2011; Accepted 23 December 2011
Academic Editor: Seenith Sivasundaram
Copyright © 2012 Hassan Azadi Kenary 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 fixed point method and direct method, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation , where is a positive real number, in non-Archimedean normed spaces.