Non-Archimedean approximation of the m-Apollonius type functional equation

Abstract

Throughout this paper, using the fixed point and direct methods, the generalized Hyers–Ulam stability of the following [Formula: see text]-Appolonius type functional equation [Formula: see text] has been proven, where [Formula: see text] is a positive integer greater than [Formula: see text], in non-Archimedean normed spaces.