On θ ω continuity

Abstract

We use the closure and the theta omega closure operators to introduce ${\theta }_{\omega }$ -continuous, ω-θ-continuous, weakly ${\theta }_{\omega }$ -continuous and faintly ${\theta }_{\omega }$ -continuous as new four classes of functions. We obtain several properties, relationships, examples and counter-examples related to them.

Keywords: θ ω -open; Faintly continuous; Mathematics; Weakly continuous; θ-continuous; θ-open; ω-open.