Further properties on M-continuity

Document Type : Original Article

Authors

Department of Mathematics, Faculty of Science, Taibah University, P.O. Box 344, AL-Madinah AL-Munawarah, Saudi Arabia

http://dx.doi.org/10.1016/j.joems.2013.05.007

Abstract

The concept of M-open sets [1] can be applied in modifications of rough set approximations
[2,3] 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.

Keywords