  We study the self-force acting on a static charged point-like particle near a
Schwarzschild black hole. We obtain the point-like particle as a limit of a
spacetime describing a big neutral black hole with a small charged massive
object nearby. The massive object is modeled by a black hole or a naked
singularity. In this fully interacting system the massive object is supported
above the black hole by a strut. Such a strut has a non-zero tension which
corresponds to the external force compensating the gravitational force and the
electromagnetic self-force acting on the massive object. We discuss details of
the limiting procedure leading to the point-like particle situation. As a
result, we obtain the standard gravitational force in the static frame of the
Schwarzschild spacetime and the electromagnetic self-force. The
electromagnetic-self force differs slightly from the classical results in a
domain near the horizon. The difference is due to taking into account an
influence of the strut on the electromagnetic field. We also demonstrate that
higher order corrections to the gravitational force, a sort of the
gravitational self-force, are not uniquely defined and they depend on details
of the limiting procedure.
