New type of regular black holes and particlelike solutions from nonlinear electrodynamics

We show that the Bronnikov theorem on the nonexistence of regular electrically charged black holes can be circumvented. In the frame of nonlinear electrodynamics, we present the exact regular black hole solutions of a hybrid type. They are electrically charged, but contain a ``dual'' core confining a polarization of magnetic charges. The considered example is based on a modification of the Ay\'on-Beato--Garc\'{}a solution. It represents a very specific realization of the idea on confinement based on dual electrodynamics and dual superconductivity.