On the stability of a quadratic functional equation over nonarchimedean spaces
Abstract
Let $G$ be an abelian group and suppose that $X$ is a nonarchimedean Banach space. We study Hyers-Ulam-Rassias stability for the functional equation of quadratic type
$$f(x+y+z)+f(x)+f(y)+f(z)=f(x+y)+f(y+z)+f(z+x)$$
where $f:G\to X$.
$$f(x+y+z)+f(x)+f(y)+f(z)=f(x+y)+f(y+z)+f(z+x)$$
where $f:G\to X$.
Refbacks
- There are currently no refbacks.