A weak form of continuity

Abstract

The aim of this paper is to introduce the notion of a new class of functions which generalize classes of α-irresolute, α-continuous, strongly α-irresolute, contra continuous and contra α-continuous functions.This class of functions is called slightly α-continuous. Moreover, basic properties and preservation theorems of slightly α-continuous functions are obtained and relationships between slightly α-continuous functions and α-co-closed graphs are investigated.