On h-open sets and h-continuous functions

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 hinterior, 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, hirresolute 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.