$\epsilon$-Closed Sets

Talal Al-Hawary

Abstract

Our goal in this paper is to introduce the relatively new notions of $\epsilon $-closed and $\epsilon $-generalized closed sets. Several properties and connections to other well-known weak and strong closed sets are discussed. $\epsilon $-generalized continuous and $\epsilon$-generalized irresolute functions and their basic properties and relations to other continuities are explored.