Abstract
In this paper we introduce slightly *gα-contoinuos function and investigated the properties of slightly *gα-continous functions. By utilizing *gα-open sets, we derived the theorem deals with covering properties and axioms.
Highlights
AND PRELIMINARIESContinuous functions play an important role in the field of Mathematics
In this paper we introduce slightly *gα-contoinuos function and investigated the properties of slightly *gα-continous functions
By utilizing *gα-open sets, we derived the theorem deals with covering properties and axioms
Summary
Continuous functions play an important role in the field of Mathematics. Large number of continuous functions have been introduced and their properties were investigated over the last two decades. Some of them are strongly α-irresoluteness (Fao, 1987) α-irresoluteness (Mashhour, et al, 1983), α-continuity (Mashhour, 1983; Njastad, 1965), pre-continuity (Blumberg, 1992; Mashhour, 1982),semi-continuity (Levine, 1963), γ-continuity (El-Atik, 1997), slightly continuity (Jain, 1980; Singal and Jain, 1997)] and slightly γ-continuity (Eradal Ekici and Miguel Caldas, 2004). The aim of this paper is to introduce slightly *gα-continuous functions and investigate the properties of slightly *gα-continuous functions. By utilizing *gα-open sets, we derive the theorems which deals with covering properties and separation axioms. Throughout the present paper, X and Y are always topological spaces. We denote the interior and closure of a set A by int(A) and cl(A), respectively
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