The Stability of the Functional Equation f(xy)=f(x)f(y)+g(x)g(y)+f(x)g(y) on Semigrou

Abstract

In this work, we establish the stability properties of the functional equation f(xy)=f(x)f(y)+g(x)g(y)+f(x)g(y), x,y in G on semigroup by using the invariant properties of a linear space T.