Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 70597, 12 pages
Research Article

Inequalities in Additive N-isometries on Linear N-normed Banach Spaces

Choonkil Park1 and Themistocles M. Rassias2

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.


We prove the generalized Hyers-Ulam stability of additive N-isometries on linear N-normed Banach spaces.