Thermodynamic consequences of well-known regular black holes under modified first law

We modify the first law of thermodynamics of regular black hole of the non-minimal Einstein–Yang–Mill theory with gauge field of magnetic Wu–Yang type and a regular black hole which is associated with the cosmological constant by the surface tensions. The corresponding Smarr relations are also satisfied for them. We calculate the Gibbs free energy to discuss the global stability of the black holes. It is found that Gibbs free energy exhibits the positive behavior in most of the cases which leads to globally thermodynamically stability of both black holes