Superstability of \(m\)-additive maps on complete non-Archimedean spaces (Q2793872)

Suppose that \(A\) and \(B\) are two complete non-Archimedean spaces. A map \(f:A \to B\) is called \(m\)-additive if \(\triangle_mf(x,y)=0\), where \(\triangle_mf(x,y)=mf\left(\frac{x+y}{m}\right)-f(x)-f(y)\) for each \(x, y\in A\). In this paper, the author investigates the superstability of \(m\)-additive maps on complete non-Archimedean spaces by a fixed point method.