On a Stability of Pexiderized Exponential Equation

Abstract

Abstract. We prove the Hyers-Ulam stability of a Pexiderized exponential equation of mappings f, g, h : G×S → C, where G is an abelian group and S is a commutative semigroup which is divisible by 2. As an application we obtain a stability theorem for Pexiderized exponential equation in Schwartz distributions.