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

On isolated singularities of mappings with inverse moduli inequalities