Sentence examples for using a subadditive function from inspiring English sources

After that we will study the stability by using a subadditive function.

After then we will study the stability by using a subadditive function.

for fixed integers and such that for all We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi- -normed spaces and then the stability by using a subadditive function for the generalized quartic function satisfying (1.4).

for all We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi- -normed spaces and then the stability by using a subadditive function for the quintic function satisfying (1.5).

We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi- -normed spaces and then the stability by using a subadditive function for the generalized quartic function such that, where,,, for all.

We investigate the generalized Hyers-Ulam-Rassias stability problem in quasi- -normed spaces and then the stability by using a subadditive function for the quintic function such that, for all.

(1)a subadditive function if.

(1)a subadditive function if, (2)a contractively subadditive function if there exists a constant with such that, (3)an expansively superadditive function if there exists a constant with such that, for all.

Thus if η is not a subadditive function, then the relationship ⪯ defined by (1.4) may not be a partial order in X, and consequently the technique used in [5, 6] becomes invalid.

The class Z is a closed convex cone andu∈U is a subadditive function ofZ∈Z.

Now we will recall a subadditive function and then investigate the stability under the condition that the space is a -Banach space.