  In this paper, we explore the final stages of the black hole evaporation for
Hayward solutions. Our results show that the behavior of Hawking's radiation
changes considerably at the small radii regime such that the black hole does
not evaporate completely and a stable remnant is left. We show that stability
conditions hold for the Hayward solutions found in the Einstein gravity coupled
with nonlinear electrodynamics. We analyse the effect that an inspired model of
the noncommutativity of spacetime can have on the thermodynamics of Hayward
spacetimes. This has been done by applying the noncommutative effects to the
non-rotating and rotating Hayward black holes. In this setup, all point
structures get replaced by smeared distributions owing to this inspired
approach. The noncommutative effects result in a colder black hole in the small
radii regime as Hayward's free parameter $g$ increases. As well as the effects
of noncommutativity and the rotation factor, the configuration of the remnant
can be substantially affected by the parameter $g$. However, in the rotating
solution it is not so sensitive to $g$ with respect to the non-rotating case.
As a consequence, Hayward's parameter, the noncommutativity and the rotation
may raise the minimum value of energy for the possible formation of black holes
in TeV-scale collisions. This observation can be used as a potential
explanation for the absence of black holes in the current energy scales
produced at particle colliders. However, it is also found that if extra
dimensions do exist, then the possibility of the black hole production at
energy scales accessible at the LHC for large numbers of extra dimensions will
be larger.
