On the Stability of Generalized Additive Functional Inequalities in Banach Spaces

<p>Abstract</p> <p>We study the following generalized additive functional inequality <inline-formula> <graphic file="1029-242X-2008-210626-i1.gif"/></inline-formula>, associated with linear mappings in Banach spaces. Moreover, we prove the Hyers-Ulam-Ras...

Full description

Bibliographic Details
Main Authors: Park Choonkil, Shin DongYun, Lee JungRye
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2008/210626
Description
Summary:<p>Abstract</p> <p>We study the following generalized additive functional inequality <inline-formula> <graphic file="1029-242X-2008-210626-i1.gif"/></inline-formula>, associated with linear mappings in Banach spaces. Moreover, we prove the Hyers-Ulam-Rassias stability of the above generalized additive functional inequality, associated with linear mappings in Banach spaces.</p>
ISSN:1025-5834
1029-242X