ADDITIVE rho-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES

作者：Kim Ji Hye; Anastassiou George A; Park Choonkil

来源：Journal of Computational Analysis and Applications, 2016, 21(6): 1115-1126.

• fuzzy Banach space
• additive rho-functional inequality
• fixed point method
• Hyers-Ulam stability

In this paper, we solve the following additive p-functional inequalities
N (f (x+y)-f (x)-f (y), t) <= N (rho(2f (x +y)/2) - f (x)-f (y)), t) (0.1)
and
N (2f (x+2/2 - f (x)-f (y),t) <= N(rho(f (x+y)-f (x)-f (y)),t) (0.2)
in fuzzy normed spaces, where rho is a fixed real number with vertical bar rho vertical bar < 1.
Using the fixed point method, we prove the Hyers-Ulam stability of the additive p-functional inequalities (0.1) and (0.2) in fuzzy Banach spaces.

• 出版日期2016-12-1