On Stability of the Cauchy Equation on Solvable Groups

• Published in: Український математичний журнал
• Date: 2015
• Main Authors: Faiziev, V.A., Sahoo, P.K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165688
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Stability of the Cauchy Equation on Solvable Groups / V.A. Faiziev, P.K. Sahoo // Український математичний журнал. — 2015. — Т. 67, № 7. — С. 1000–1005. — Бібліогр.: 11 назв. — англ.

The notion of (ψ, γ)-stability was introduced in [V. A. Faiziev, Th. M. Rassias, and P. K. Sahoo, Trans. Amer. Math. Soc., 354, 4455 (2002)]. It was shown that the Cauchy equation f(xy) = f(x) + f(y) is (ψ, γ)-stable both on any Abelian group and on any meta-Abelian group. In [V. A. Faiziev and P. K...