Ekici, Erdal2025-01-272025-01-2720081319-8025https://hdl.handle.net/20.500.12428/29214The 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.eninfo:eu-repo/semantics/closedAccesse-open setDP-setDP epsilon -setDP*-setDP epsilon*-sete-continuous functiondecompositionArticle332A269282Q4WOS:000260707200009