Weak W-continuity on weak spaces

Abstract

We introduced the notion of weak structure [13] which is defined by the new interior operator and closure operator defined in a WNS. The notion of W -continuity was also introduced and studied. The purpose of this paper is to study the extended notion of W -continuity on weak spaces. So we introduce the notion of weak W -continuity on weak spaces and study properties of such a notion. For the study, we also investigate the notions of w-Urysohn spaces, w-closed graph and strongly w-closed graph on weak spaces. Mathematics Subject Classification: 54A05, 54B10, 54C10, 54D30