排序方式: 共有6条查询结果,搜索用时 125 毫秒
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In this paper, we present hyperstability results of Jensen functional equations in ultrametric Banach spaces. 相似文献
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M. Almahalebi 《Acta Mathematica Hungarica》2018,154(1):187-198
Using the fixed point method, we investigate the stability of a generalization of Jensen functional equationwhere \({n \in \mathbb{N}_{2}}\), \({b_{k}=\exp(\frac{2i\pi k}{n})}\) for \({0\leq k \leq n-1}\), in Banach spaces. Also, we prove the hyperstability results of this equation by the fixed point method.
相似文献
$$ \sum_{k=0}^{n-1} f(x+ b_{k}y)=nf(x),$$
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Muaadh Almahalebi 《Aequationes Mathematicae》2016,90(4):849-857
In this paper, we obtain hyperstability results for the \({\sigma}\)-Drygas functional equation and the inhomogeneous \({\sigma}\)-Drygas functional equation on semigroups. Namely, we show that a function satisfying the \({\sigma}\)-Drygas equation approximately must be exactly the solution of it. 相似文献
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Choonkil Park Arslan Hojt Ansari Muaadh Almahalebi 《Journal of Fixed Point Theory and Applications》2017,19(4):2417-2425
In this paper, we introduce an \(m{\text{th}}\) root functional equation. Using the fixed point approach, we prove the Hyers–Ulam stability of the \(m{\text{th}}\) root functional equation in \(C^{*}\)-algebras. 相似文献
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Muaadh Almahalebi Ahmed Charifi Choonkil Park Samir Kabbaj 《Journal of Fixed Point Theory and Applications》2018,20(1):40
The aim of this paper is to introduce and solve the following generalized radical cubic functional equation We also investigate some hyperstability results for this equation in non-Archimedean Banach spaces.
相似文献
$$\begin{aligned} f\left( \root 3 \of {\sum _{i=1}^{k}x_{i}^{3}}\right) =\sum _{i=1}^{k}f(x_{i}),\quad k\in \mathbb {N}_{2}. \end{aligned}$$
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