Lee, Jung-Rye; Lee, Tae-Keug; Shin, Dong-Yun On the stability of a generalized additive functional equation. II. (English) Zbl 1181.39022 J. Korea Soc. Math. Educ., Ser. B, Pure Appl. Math. 14, No. 2, 111-125 (2007). The authors prove the generalized Hyers-Ulam stability (generalized Cauchy-Rassias stability) of a generalized additive functional equation in Banach spaces and Banach modules over a \(C^*\)-algebra. [For Part I, see J.-R.Lee and D.-Y.Shin, J. Math. Anal. Appl. 339, No. 1, 372–383 (2008; Zbl 1134.39024).] Reviewer: Paşc Găvruţă (Timişoara) MSC: 39B82 Stability, separation, extension, and related topics for functional equations 39B52 Functional equations for functions with more general domains and/or ranges 39B55 Orthogonal additivity and other conditional functional equations Keywords:Cauchy-Rassias stability; generalized additive mappings; Banach space; Banach module over a \(C^*\)-algebra; Hyers-Ulam stability Citations:Zbl 1134.39024 PDFBibTeX XMLCite \textit{J.-R. Lee} et al., J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 14, No. 2, 111--125 (2007; Zbl 1181.39022) Full Text: DOI