  We have studied the charged BTZ black holes in noncommutative spaces arising
from two independent approaches. First, by using the Seiberg-Witten map
followed by a dynamic choice of gauge in the Chern-Simons gauge theory. Second,
by inducing the fuzziness in the mass and charge by a Lorentzian distribution
function with the width being the same as the minimal length of the associated
noncommutativity. In the first approach, we have found the existence of
non-static and non-stationary BTZ black holes in noncommutative spaces for the
first time in the literature, while the second approach facilitates us to
introduce a proper bound on the noncommutative parameter so that the
corresponding black hole becomes stable and physical. We have used a
contemporary tunneling formalism to study the thermodynamics of the black holes
arising from both of the approaches and analyze their behavior within the
context.
