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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

Issue:

SSRSMI, Number 2, Volume XXIX

Section:

Volume 29, Number 2

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.

Keywords:

Grill, ḡα (θ)-convergence and ḡα (θ)-adherence of a grill, ḡα (θ)-closed spac.

Code [ID]:

SSRSMI201902V29S01A0008 [0005131]

Note:

Full paper:

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