  We study thermodynamical structure of Einstein black holes in the presence of
power Maxwell invariant nonlinear electrodynamics for two different cases. The
behavior of the temperature and conditions regarding the stability of these
black holes are investigated. Since the language of geometry is an effective
method in general relativity, we concentrate on the geometrical thermodynamics
to build a phase space for studying phase transition. In addition, taking into
account the denominator of the heat capacity, we use the proportionality
between cosmological constant and thermodynamical pressure to extract the
critical values for these black holes. Besides, the effects of the variation of
different parameters on thermodynamical structure of these black holes are
investigated. In addition, some thermodynamical properties such as volume
expansion coefficient, speed of sound and isothermal compressibility
coefficient are calculated and some remarks regarding these quantities are
given.
