ON THE HYPERSTABILITY OF p-RADICAL FUNCTIONAL EQUATION RELATED TO CUBIC MAPPING IN ULTRAMETRIQUE BANACH SPACE

Abstract

The aim of this paper is to introduce and solve the p-radical functional equation related to cubic functional equation. We also establish the hyperstability results in the senses of Gâvruta-Ulam-Rassiass for the considered equation in non-Archimedean Banach spaces, by using an analogue version of theorem of J. Brzdȩk in [12].