Abstract
In 1970, Levine introduced generalized closed sets in topological spaces in order to extend many of the important properties of closed sets to a large family. In the recent past, there has been considerable interest in the study of various forms of generalized closed sets. The authors introduced -closed sets in topological spaces. In this, we introduce a new class of function called contra -continuous functions by using -closed sets and characterize their basic properties. Further the relationship between this new class with other classes of existing contra continuous functions are established. Also we define contra -irresolute, perfectly contra -irresolute and almost contra -continuous functions and we have given the relationship of these three functions with contra -continuous functions.