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

R. El. Ghali, S. Kabbaj, G. H. Kim

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].


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ISSN: 1229-1595 (Print), 2466-0973 (Online)