Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 904852, 8 pages
Research Article

On the Cauchy Functional Inequality in Banach Modules

Choonkil Park

Department of Mathematics, Hanyang University, Seoul 133791, South Korea

Received 17 January 2008; Revised 21 March 2008; Accepted 16 April 2008

Academic Editor: Ram Mohapatra

Copyright © 2008 Choonkil Park. 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 investigate the following functional inequality: f(x)+f(y)+f(z)f(x+y+z) in Banach modules over a C-algebra, and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a C-algebra.