International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 16292, 11 pages
doi:10.1155/2007/16292
Regular Generalized ω-Closed Sets
Ahmad Al-Omari
and Mohd Salmi Md Noorani
School of Mathematical Sciences, Faculty of Science and Technology, National University of Malaysia (UKM), Selangor 43600, Malaysia
Abstract
In 1982 and 1970, Hdeib and Levine introduced the notions of ω-closed set and generalized closed set, respectively. The aim of this paper is to provide a relatively new notion of generalized closed set, namely, regular generalized ω-closed, regular generalized ω-continuous, a-ω-continuous, and regular generalized ω-irresolute maps and to study its fundamental properties.