Characterizations of c-α-continuous functions

In 1970, Gentry and Hoyle have defined and studied the notion of c-conti-nuity in topological spaces. Later, Long et al and Gauld have studied some more properties of c-continuity in the literature. In 1965, O. Njastad, had defined the concept of α-sets, latter these sets were called as α-open sets. 1983,Mashhour et al have defined and studied the concepts of α-closed sets, α-continuity, α-openness and α-closedness in topological spaces. In this paper, we define and study the concepts of c-α-continuity, c-continuity, c*--continuity and almost c-continuity in topological spaces. Also, we characterize their basic properties.