Stability of ternary antiderivation in ternary Banach algebras via fixed point theorem

In this paper, we introduce the concept of ternary antiderivation on ternary Banach algebras and investigate the stability of ternary antiderivation in ternary Banach algebras, associated to the (alpha, ss)-functional inequality parallel to.F(x + y + z) - F(x + z) - F(y - x + z) - F(x - z)parallel to <=parallel to alpha(F(x + y - z) + F(x - z) - F(y))parallel to +parallel to ss(F(x - z) + F(x) - F(z))parallel to where a and ss are fixed nonzero complex numbers with |alpha|+ |ss| < 2 by using the fixed point method.

Automated summary

In this paper, we introduce the concept of ternary antiderivation on ternary Banach algebras and investigate the stability of ternary antiderivation in ternary Banach algebras.