Additive Functional Inequalities in Banach Modules
Journal of Inequalities and Applications volume 2008, Article number: 592504 (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 in the spirit of the Th. M. Rassias stability approach. Moreover, these results are applied to investigate homomorphisms in complex Banach algebras and prove the generalized Hyers-Ulam stability of homomorphisms in complex Banach algebras.
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Park, C., An, J.S. & Moradlou, F. Additive Functional Inequalities in Banach Modules. J Inequal Appl 2008, 592504 (2008). https://doi.org/10.1155/2008/592504