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

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

Recommended by Paolo Emilio Ricci

Abstract

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