In this paper, we investigate n-Jordan * -homomorphisms in C *algebras associated with the following functional inequalityWe moreover prove the superstability and the Hyers-Ulam stability of n-Jordan * -homomorphisms in C * -algebras associated with the following functional equation INTRODUCTION AND PRELIMINARIESLet A,B be complex algebras. A C-linear mapping h : A → B is called an n-Jordan homomorphism if h(a n ) = h(a) n for all a ∈ A. The concept of n-Jordan homomorphisms was studied for complex algebras by Eshaghi Gordji et al. [3] (see also [4,9]).In this paper, assume that n is an integer greater than 1.Definition 1.1. ([10]). Let A, B be complex algebras. A C-linear mapping h :for all a ∈ A.

Using fixed point method, we prove the fuzzy version of the Hyers

In this paper, we investigate the superstability and the Hyers-Ulam stability of n-Jordan * -derivations on C * -algebras and JC * -algebras. MSC: Primary 17C65; 39B52; 39B72; 46L05