Additive rho-functional inequalities in normed spaces

作者：Choi Jiyun; Seong Juno^*; Park Choonkill

来源：Journal of Nonlinear Sciences and Applications, 2016, 9(1): 247-253.

DOI：10.22436/jnsa.009.01.23

• Additive rho-functional inequality
• fixed point
• Hyers-Ulam stability

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

• 出版日期2016