On Faintly θ- Semi-Continuous and Faintly δ-Semi-Continuous Functions

Abstract

Faintly continuous (FC) functions, entitled faintly S-continuous and faintly δS-continuous functions have been introduced and investigated via a -open and -open sets. Several characterizations and properties of faintly S-continuous and faintly -Continuous functions were obtained. In addition, relationships between faintly s- Continuous and faintly S-continuous function and other forms of FC function were investigated. Also, it is shown that every faintly S-continuous is weakly S-continuous. The Convers is shown to be satisfied only if the co-domain of the function is almost regular.

Keywords

• Faintly θS-continuous, Faintly δS-continuous, θs-open, δs-open, Faint continuity