Weakly ωβ-continuous functions.

In this paper we introduce a new class of generalizations of continuous functions via ωβ-open sets called weakly ωβ-continuous functions. Moreover, we study some of its fundamental properties and characterizations. The concept of weak ωβ-continuous is weaker than ωβ-continuous, weakly ω-continuous and weakly β-continuous functions, are also discussed. [ABSTRACT FROM AUTHOR]