HYPERSTABILITY OF THE GENERALIZED CAUCHY-JENSEN FUNCTIONAL EQUATION IN ULTRAMETRIC SPACES

摘要

In this article, we prove hyperstability results of the generalized Cauchy-Jensen functional equation αf （（x + y）/α+ z） = f（x） + f（y） + αf（z） for any fixed positive integer α≥ 2 in ultrametric Banach spaces by using fixed point method.