Sentence examples for manageable function from inspiring English sources

Every manageable function leads to a simple corollary considering the corresponding R-function.

The notion of manageable function was introduced in order to study multi-valued contractions.

Since η is a manageable function, (0leqeta(a_{n},b_{n})< b_{n}-a_{n}) for all (ninmathbb{N}).

The same argument guarantees that ϱ, defined from (mathbb{R}times mathbb{R}) into (mathbb{R}), is not a manageable function.

And, in order to extend some results in the field of multi-valued maps, Du and Khojasteh presented the very close (but independent) notion of manageable function (see [14]).

If (kin 0,1)), then the function (eta:mathbb{R}timesmathbb{R}rightarrowmathbb{R}) given by (eta t,s)=k s-t) for all (t,sinmathbb{R}), is a manageable function, and its restriction to ([0,infty)tises[0,infty)) is a simulation function.

Several examples of simulation functions and manageable functions can be found on [12 14].

We denote the set of all manageable functions by (widehat{operatorname{Man}(mathsf{R})}).

Very recently, Du and Khojasteh [12] first introduced the concept of manageable functions.

In 2014, Du and Khojasteh [14] introduced the concept of manageable functions.

They showed that many known results can be deduced of some local constraints related to manageable functions.