Homomorphisms and derivations in C*-ternary algebras via fixed point method

Abstract

Park (J. Math. Phys. 47: 103512, 2006) proved the Hyers-Ulam stability of homomorphisms in C*-ternary algebras and of derivations on C*-ternary algebras for the following generalized Cauchy-Jensen additive mapping:2f(Sigma(p)(j=1) X-j/2 + Sigma(d)(j=1)y(j)) = Sigma(p)(j=1) f(x(j)) + 2 Sigma(d)(j=1) f(y(j)).In this paper, we improve and generalize some results concerning this functional equation via the fixed-point method.