ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.33, ss.269-282, 2008 (SCI İndekslerine Giren Dergi)
The main goal of this paper is to study some new classes of sets and to obtain some new decompositions of continuity. For this aim, the notions of e-open sets, DP-sets, DP epsilon-sets, DP*-sets, DP epsilon*-sets, e-continuous functions, DP*-continuous functions, and DP epsilon*-continuous functions are introduced. Properties of e-open sets, DP-sets, DP epsilon-sets, DP*-sets, DP epsilon*-sets and the relationships between these sets and the related concepts are investigated. Finally, some new decompositions of continuity are obtained.