Approximate fuzzy ternary homomorphisms and fuzzy ternary derivations on fuzzy ternary Banach algebras

Abstract

Using the fixed point method, we prove the Hyers-Ulam stability of ternary homomorphisms and ternary derivations in fuzzy ternary Banach algebras associated to the following additive functional equation Sigma(n)(k=2)(Sigma(k)(i1=2)Sigma i(2=i1+1)(k+1) ... Sigma i(n-k+1=in-k+1)(n) )f( Sigma(n)(i not equal 1,i not equal i1,i2...,in-k+1) xi- Sigma(n-k+1)(r=1) x(ir) ) + d (Sigma(n)(i=1)x(i)) = 2n-1 f(x(1)) for a fixed integer n with n ˃= 2.