Ḡα-CLOSED SETS IN TERMS OF GRILLS
A. SELVAKUMAR(1), S. JAFARI(2)
1. SNS College of Engineering, Coimbatore, Tamilnadu, INDIA. e-mail : selvam mphil@yahoo.com 2. College of Vestsjaelland Syd, Herrestraede 11, 4200 Slagelse, DENMARK. e-mail: jafaripersia@gmail.com
Abstract
In this paper we introduce the new notions of ḡα (θ)-convergence and ḡα (θ)-adherence of a grill in a topological space. We prove necessary and sufficient conditions for a grill to be ḡα (θ)-adherent to a point, respectively ḡα (θ)-convergent to a point, then we provide a characterization of relative ḡα (θ)-closedness of a set in terms of grills.