  In this letter we choose generalized Ayon Beato Gracia (ABG) magnetic charged
black hole with five parameters to investigate possibility of thermodynamic
phase transition and coexistence of different gass/liquid/solid phases of this
black hole. In fact this work is an extension of our recently work where ABG
black hole with three parameters was used to seek the phase transition. In this
work we obtain other physical values on the parameters with respect to our
previous work where the phase transition is happened together with coexistence
point of different phases in the phase space.
