A Fixed Point Approach to Stability of Cubic Lie Derivatives in Banach Algebras

作者：Kim Seong Sik; Rassias John Michael; Abdou Afrah A N^*; Cho Yeol Je

来源：Journal of Computational Analysis and Applications, 2015, 19(2): 378-388.

• cubic Lie derivation
• stability
• superstability
• hyperstability
• Banach algebra

In this paper, we investigate the new stability, superstability and hyperstability of the cubic Lie derivations associated with the system of general cubic functional equations:
{f(xy) = x(3) f(y) + f(x)y(3,)
f(x + ky) - kf(x + y) + kf(x - y) - f(x - ky) = 2k(k(2) - 1)f(y)
in Banach algebras.

• 出版日期2015-8