  In this work, we study corrections to black hole temperature and entropy in
the context of the generalized uncertainty principle. In particular, we obtain
corrected asymptotically anti de-Sitter black hole solutions following the
extended phase space scheme in which the cosmological constant is considered as
a thermodynamic pressure satisfying certain equation of state. Among all the
possibilities, we consider that the cosmological pressure satisfies either a
Polytropic or a Chaplygin equation of state. The physical plausibility of the
solutions is studied based on the energy conditions and the associated heat
capacity.
