Perturbations of Jordan higher derivations in Banach ternary algebras : An alternative fixed point approach

نویسندگان
Rostami, F. ID 1
Hosseinioun, S. A. R. ID 2

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

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

doi
10.22075/ijnaa.2010.67
چکیده

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

کلیدواژه‌ها
fixes point theorem, higher ternary Jordan derivation, approximately higher ternary Jordan derivation, stability