Using Dominant and Weak Energy Conditions for build New Classes of Regular Black Holes

We study the generalization of the mass function of classes of regular spherically symmetric black holes solutions of in $4D$ coming from the coupling of General Relativity with Non-linear Electrodynamics, through the requirement of the energy conditions. Imposing that the solution must be regular and that the Weak and Dominant Energy Conditions are simultaneously satisfied, for models with the symmetry $T^0_{\;\;0} = T^1_{\;\;1}$ of the tensor energy-momentum, we construct a new general class of regular black holes of which two cases are asymptotically Reissner-Nordstrom.