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- W2288575528 abstract "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. Sahoo, Publ. Math. Debrecen, 75, 6 (2009)], it was proved that the Cauchy equation is (ψ, γ)-stable on step-two solvable groups and step-three nilpotent groups. In the present paper, we prove a more general result and show that the Cauchy equation is (ψ, γ)-stable on solvable groups." @default.
- W2288575528 created "2016-06-24" @default.
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- W2288575528 date "2015-12-01" @default.
- W2288575528 modified "2023-09-28" @default.
- W2288575528 title "On Stability of the Cauchy Equation on Solvable Groups" @default.
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- W2288575528 doi "https://doi.org/10.1007/s11253-015-1140-y" @default.
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