Remarks on the Hyers–Ulam stability of some systems of functional equations
✍ Scribed by Janusz Brzdęk; Krzysztof Ciepliński
- Book ID
- 119187040
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 243 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0096-3003
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📜 SIMILAR VOLUMES
In this paper we study the Hyers᎐Ulam᎐Rassias stability theory by considering the cases where the approximate remainder is defined by ## Ž . Ž . where G, ) is a certain kind of algebraic system, E is a real or complex Hausdorff topological vector space, and f, g, h are mappings from G into E. We
In this paper, we define the following additive set-valued functional equations (1) for some real numbers α > 0, β > 0, r, s ∈ R with α + β = r + s ̸ = 1, and prove the Hyers-Ulam stability of the above additive set-valued functional equations.