ON CONTRA we∗-CONTINUOUS FUNCTIONS

Abstract

The main goal of this paper is to introduce and study a new type of contra continuity called contra we∗-continuity via we∗-open sets defined by us. We obtain several characterizations and some fundamental properties of contra we∗-continuous functions. Moreover, we investigate the relationships between contra we∗-continuous functions and other related strong and weak forms of contra continuity. Furthermore, we introduce the concepts of we∗-compactness and strongly contra we∗-closed graphs to look into some different properties.