APPROXIMATE OF HOMOMORPHISM AND DERIVATIONS ON BANACH ALGEBRA VIA DIRECT AND FIXED POINT METHOD

Abstract

This study examines the approximation of homomorphism and derivations asso-ciated with the functional equation:

f(2x+y)+f (2x-y)=f(x+y)+f(x-y)+2f(2x)+2f(x).

In the context of Banach algebras spaces, utilizing the direct and xed-point methods.