论文标题
F空间和准巴纳奇空间中添加节季度功能方程的ULAM稳定性
Ulam stability of an additive-quadratic functional equation in F-space and quasi-Banach spaces
论文作者
论文摘要
通过采用直接方法和固定点方法，我们证明了以下添加剂 - 季度功能方程的Hyers-ulam稳定性 f（x+y，z+w）+f（x-y，z-w）-2 f（x，z）-2 f（x，w）= 0 \ end end {equation} in $β$ - 均匀的$ f $ spaces和quasi-banach空间。我们认为具有$β$综合规范和准标准的目标空间存在一些差异。克服了$β$均匀的规范和准纳米瓶颈，我们获得了一些新的结果。
By adopting the direct method and fixed point method, we prove that the Hyers-Ulam stability of the following additive-quadratic functional equation \begin{equation} f(x+y, z+w)+f(x-y, z-w)-2 f(x, z)-2 f(x, w)=0 \end{equation} in $β$-homogeneous $F$-spaces and quasi-Banach spaces. There are some differences that we consider the target space with the $β$-homogeneous norm and quasi-norm. Overcoming the $β$-homogeneous norm and quasi-norm bottlenecks, we get some new results.
