Document Type : Research Paper

Authors

• F. Rostami
• S. A. R. Hosseinioun

Department of Mathematics, Shahid Beheshti University, P. O. Box 731, Tehran, Iran

Abstract

Using fixed point methods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation
$$f(\lambda_{1}x+\lambda_{2}y+\lambda_3z)=\lambda_1f(x)+\lambda_2f(y)+\lambda_3f(z).$$

Keywords

• fixes point theorem
• higher ternary Jordan derivation
• approximately higher ternary Jordan derivation
• stability