In this paper we introduce upper/lower m-I-continuous multifunctions as multifunctions defined on an ideal minimal space (X; m; I). We obtain some characteriza-tions and several properties of such multifunctions. As special cases of these properties, we obtain the properties of upper/lower α-I-continuous [4], upper/lower semi-I-continuous [3] and upper/lower pre-I-continuous [3] multifunctions.
