Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 010725, 15 pages
doi:10.1155/2007/10725
Research Article
Stability Problem of Ulam for Euler-Lagrange Quadratic Mappings
1Department of Mathematics, College of Natural Sciences, Chungnam National University, 220 Yuseong-Gu, Daejeon 305-764, South Korea
2Pedagogical Department E. E., National and Capodistrian University of Athens, Section of Mathematics and Informatics, 4 Agamemnonos St., Aghia Paraskevi, Athens 15342, Greece
Received 26 May 2007; Revised 9 August 2007; Accepted 9 November 2007
Academic Editor: Ondrej Dosly
Copyright © 2007 Hark-Mahn 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.
Abstract
We solve the generalized Hyers-Ulam stability problem for multidimensional Euler-Lagrange quadratic mappings which extend the original Euler-Lagrange quadratic mappings.