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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.
Several examples of simulation functions and manageable functions can be found on [12 14].
They showed that many known results can be deduced of some local constraints related to manageable functions.
We denote the set of all GMT functions by GMT ( R ) ˆ. Here, we give simple examples of manageable functions.
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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.
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.
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