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On the stability of a generalized additive functional equation. II. (English) Zbl 1181.39022

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).]

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

Citations:

Zbl 1134.39024
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