  We consider open discrete mappings that satisfy the modulus condition of the
inverse Poletsky inequality type. We study the case when the majorant in it is
integrable, or more generally, has finite averages over infinitesimal spheres.
We proved that such mappings have a continuous extension to an isolated point
of the boundary of some domain without any a priori requirements on the
corresponding mapped domain for integrable majorants. In the case of majorants,
integrable on spheres, we require only the boundedness of the mapped domain. We
do not require any other topological conditions on the mappings.
