Homomorphism And Derivative Stability Of Random C * - Ternary Algebra

In this paper, by using fixed point theorem, we investigate the generalized Hyers - Ulam - Rassias stability of the homomorphisms and derivations in random C*-ternary algebras associated with the following (m, n) - Cauchy -Jensen additive functional equationThis thesis is divided into four sections according to contents.In section 1, we introduce some related theoretical background.In section 2, we represent relevant fundamental knowledge.In section 3, we introduce the proof of the related theorems of the stability of homomorphisms in random C*-ternary algebras.In section 4, we introduce the proof of the related theorems of the stability of derivations in random C*-ternary algebras.