A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings
✍ Scribed by P. Gavruta
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 118 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
In this paper we prove a generalization of the stability of the Pexider equa-Ž . Ž . Ž . tion f x q y s g x q h y in the spirit of Hyers, Ulam, Rassias, and Gavruta.
In this paper we prove a generalization of the stability of the Jensen's equation in the spirit of Hyers, Ulam, Rassias, and Gavruta.
## Abstract Let __X, Y__ be Banach modules over a __C__ \*‐algebra. We prove the Hyers–Ulam–Rassias stability of the following functional equation in Banach modules over a unital __C__ \*‐algebra: equation image It is shown that a mapping __f__: __X__ → __Y__ satisfies the above functional equati