JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, v. 20, no. 1, Article no. UNSP 40
Abstract
The aim of this paper is to introduce and solve the following generalized radical cubic functional equationf((3)root(k)Sigma(i=1)x(i)(3)) = (k)Sigma(i=1)f(x(i)), k is an element of N-2.We also investigate some hyperstability results for this equation in non-Archimedean Banach spaces.