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Inequalities in Additive -isometries on Linear -normed Banach Spaces

Journal of Inequalities and Applications20062007:070597

https://doi.org/10.1155/2007/70597

©  C. Park and T. M. Rassias. 2007

Received: 5 December 2005

Accepted: 17 October 2006

Published: 30 November 2006

Abstract

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

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Authors’ Affiliations

(1)
Department of Mathematics, Hanyang University
(2)
Department of Mathematics, National Technical University of Athens

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Copyright

© C. Park and T. M. Rassias. 2007

This article is published under license to BioMed Central Ltd. 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.