Open Access

On the Cauchy Functional Inequality in Banach Modules

Journal of Inequalities and Applications20082008:904852

Received: 17 January 2008

Accepted: 16 April 2008

Published: 17 April 2008


We investigate the following functional inequality: in Banach modules over a -algebra, and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a -algebra.

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Authors’ Affiliations

Department of Mathematics, Hanyang University, Seoul, South Korea


© Choonkil Park. 2008

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