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Hyers–Ulam stability of additive set-valued functional equations

✍ Scribed by Gang Lu; Choonkil Park

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
213 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Some Further Generalizations of the Hyer
Some Further Generalizations of the Hyers–Ulam–Rassias Stability of Functional Equations
✍ Wang Jian 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 130 KB

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