Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 10725, 15 pages
doi:10.1155/2007/10725
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

Recommended by Ondrej Dosly

Abstract

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