Resumen de Some hyperstability results of a p-radical functional equation related to Drygas mappings in non-Archimedean Banach spaces

Mostapha Esseghyr Hryrou, Ahmed Nuino, Samir Kabbaj

• The aim of this paper is to introduce and solve the following p-radical functional equation related to Drygas mappings   f is a mapping from R into a vector space X and p ≥ 3 is an odd natural number. Using an analogue version of Brzdȩk’sfixed point theorem [12], we establish some hyperstability results for the considered equation in non-Archimedean Banach spaces. Also, we give some hyperstability results for the inhomogeneous p-radical functional equation related to Drygas mappings