Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 010725, 15 pages
Research Article

Stability Problem of Ulam for Euler-Lagrange Quadratic Mappings

Hark-Mahn Kim,1 John Michael Rassias,2 and Young-Sun Cho1

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.


We solve the generalized Hyers-Ulam stability problem for multidimensional Euler-Lagrange quadratic mappings which extend the original Euler-Lagrange quadratic mappings.