Weakly δ-b-Continuous Functions

The aim of this paper is to introduce and investigate some properties of weakly δ-b-continuous functions. We also define the notion of δ-b-continuous functions by using δ-b-open sets. We obtain that the notion of weak δ-b- continuity is weaker than δ-b-continuity, but stronger than both the weak b- continuity and weak e-continuity. In order to show coincidencies in functions whose range space is regular, we introduce and investigate some properties of the notions of faint δ-b-continuity and strong θ-δ-b-continuity. Finally, we obtain some properties of weakly δ-b-continuous functions related to some separation axioms and graphic functions for δ-b-open sets.