Журнал прикладной и вычислительной математики

On H-Open Sets and H-Continuous Functions

Abstract

Fadhil Abbas

The aim of this paper is to introduce a new class of open sets called h-open sets. Also, introduce and study topological properties of h-interior, h-closure, h-limit points,

h-derived, h-interior points, h-border, h-frontier and h-exterior by using the concept of h-open sets. Moreover introduce the notion of h-continuous functions, h-open

functions, h-irresolute functions, h-totally continuous functions, h-contra-continuous functions, h-homeomorphism and investigate some properties of these functions

and study some properties, remarks related to them