Other new types of Mappings with Strongly Closed Graphs in Topological spaces via e-θ and δ-β-θ-open sets

Abstract

Abstract The purpose of this paper is to introduce and investigate a new types of mappings with Strongly Closed Graphs in Topological spaces namely strongly e-θ-(resp. δ-βθ)-Closed Graphs by using the concepts of e-θ-(resp. δ-βθ)-open sets and e-θ-(resp. δ-βθ)-closure operator which were introduced by Murad ÄOzkoc and GÄulhan Aslim [1] (resp. Alaa. M. F, and Xiao-Song Yang [2]), several characterizations and fundamental properties concerning of such these mappings have been studied. Furthermore, some characterizations of strongly e-θ-(δ-βθ)-Closed Graphs and nearly Φ-compact spaces have been obtained.