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)+y(y)+αf(z)for any fixed positive integer α> 2 in ultrametric Banach spaces by using fixed point method.