ADDITIVE rho-FUNCTIONAL INEQUALITIES IN MATRIX NORMED SPACES

作者：Batool Afshan; Park Choonkil; Shin Dong Yun^*

来源：Journal of Computational Analysis and Applications, 2015, 19(6): 939-946.

• Hyers-Ulam stability
• additive rho-functional equation
• additive rho-functional inequality
• matrix normed space

In [22], Kim et al. introduced and investigated the following additive rho-functional inequalities
parallel to f(x+y+z) - f(x) - f(y) - f(z)parallel to (0.1)
<=parallel to rho(2f(x+y/2+z) - f(x) - f(y) - 2f(z)parallel to,
parallel to 2f(x+y/2+z) - f(x)-f(y) - 2f(z)parallel to (0.2)
<=parallel to rho(2f(x+y+z/2) - f(x) - f(y) - f(z))parallel to
in complex Banach spaces.
We prove the Hyers-Ulam stability of the additive rho-functional inequalities (0.1) and (0.2) in complex matrix normed spaces and prove the Hyers-Ulam stability of additive rho-functional equations associated with the additive rho-functional inequalities (0.1) and (0.2) in complex matrix normed spaces.

• 出版日期2015-12