On Generalized omega e*-closed Sets

Abstract

The aim of this paper is to introduce and study a new type of generalized closed sets, called generalized omega e*-closed (briefly, g omega e*-closed) sets, via omega e*-closure operator. We examine the fundamental properties of the class of these sets. The notion of g omega e*-closed set is weaker than the notions of g omega beta-closed set and omega e*-closed set in the literature. Also, we define and discuss the notions of generalized omega e*-continuous and generalized omega e*-irresolute functions.