This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In 2014, J. Borsík and J. Holos defined porouscontinuous functions. Using the notion of density in O’Malley sense, we introduce new definitions of porouscontinuity, namely MOr and SOr-continuity. Some relevant properties of these classes of functions are discussed.