Generalized uncertainty principle and asymptotically safe gravity

We present a procedure to link the deformation parameter $\ensuremath{\beta}$ of generalized uncertainty principle (GUP) two free parameters $\stackrel{\texttildelow{}}{\ensuremath{\omega}}$ and $\ensuremath{\gamma}$ running Newtonian coupling constant asymptotically safe gravity program. To this aim, we compute Hawking temperature black hole in different ways. The first way involves use GUP place Heisenberg relations, therefore get deformed containing $\ensuremath{\beta}$. second Schwarzschild metric due according prescription. comparison techniques yields relation between $\stackrel{\texttildelow{}}{\ensuremath{\omega}}$, $\ensuremath{\gamma}$. As particular case, discuss also so-called $\ensuremath{\xi}$-model. relations $\ensuremath{\xi}$ allow us transfer upper bounds from one others.