Further properties on M-continuity

The concept of M-open sets [1] can be applied in modifications of rough set approximations [2] and [3] which is widely applied in many application fields. The aim of this paper is to introduce and investigate some new classes of topological mappings called M-continuous mappings via M-open sets. Also,M-irresolute mappings which are stronger than M-continuous mappings are studied and the relationships between these mappings are investigated. Several properties of these new notions have been discussed and the connections between them are studied.