A fixed point technique for investigating the stability of (α, β, γ )-derivations on Lie C*-algebras

مشخصات پژوهش

عنوان	A fixed point technique for investigating the stability of (α, β, γ )-derivations on Lie C*-algebras
نوع پژوهش	JournalPaper
کلیدواژه‌ها	Lie (α, β, γ )-derivation, Fixed point theorem, Stability, Contractively subhomogeneous, Expansively superhomogeneous
سال	2013
مجله	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
شناسه DOI
پژوهشگران	Hamid Khodaei

چکیده

We apply a fixed point theorem to investigate some new stability results of $(\alpha,\beta,\gamma)$-derivations on Lie $C^*$-algebras associated to the generalized Cauchy–-Jensen type additive functional equation \begin{equation*} \sum^{n}_{i=1}f\left(x_i+ \frac{1}{n-1}\sum^{n}_{j=1,j\neq i}x_j\right)=2\sum^{n}_{i=1}f(x_i). \end{equation*}}

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چکیده