Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 70597, 12 pages
doi:10.1155/2007/70597
Research Article
Inequalities in Additive N-isometries on Linear N-normed Banach
Spaces
1Department of Mathematics, Hanyang University, Seoul 133-791, South Korea
2Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens 15780, Greece
Received 5 December 2005; Revised 12 October 2006; Accepted 17 October 2006
Academic Editor: Paolo Emilio Ricci
Copyright © 2007 Choonkil Park and Themistocles M. Rassias. 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 prove the generalized Hyers-Ulam stability of additive N-isometries on linear N-normed Banach spaces.