Homomorphisms in Quasi-Banach Algebras Associated with a Pexiderized Cauchy-Jensen Functional Equation

In this paper,we prove the generalized Hyers-Ulam stability of homomorphisms in quasiBanachalgebras associated with the following Pexiderized Jensen functional equationf (x+y/2+z) - g(x-y/2+z) = h(y).This is applied to investigating homomorphisms between quasi-Banach algebras.The concept of thegeneralized Hyers-Ulam stability originated from Rassias’ stability theorem that appeared in his paper:On the stability of the linear mapping in Banach spaces,Proc.Amer.Math.Soc.,72,297-300 (1978).