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- W2891461172 abstract "In this paper, we prove Hyers-Ulam-Rassias stability of C∗ -algebra homomorphisms for the following generalized Cauchy-Jensen equation: αμf(x+yα+z)=f(μx)+f(μy)+αf(μz), for all μ∈S:={λ∈C∣|λ|=1} and for any fixed positive integer α≥2 , which was introduced by Gao et al. [J. Math. Inequal. 3:63-77, 2009], on C∗ -algebras by using fixed poind alternative theorem. Moreover, we introduce and investigate Hyers-Ulam-Rassias stability of generalized θ-derivation for such functional equations on C∗ -algebras by the same method." @default.
- W2891461172 created "2018-09-27" @default.
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- W2891461172 date "2018-09-12" @default.
- W2891461172 modified "2023-09-26" @default.
- W2891461172 title "Approximation of the generalized Cauchy–Jensen functional equation in C ∗ $C^{*}$ -algebras" @default.
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- W2891461172 doi "https://doi.org/10.1186/s13660-018-1824-6" @default.
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