- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
On α-strongly θ-continuity, αθ-openness and (α, θ)-closed graphs in Topological Spaces | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 3, Volume 4, Issue 1, 2007, Pages 41-56 PDF (345.48 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2007.163994 | ||
| Author | ||
| Abdullah M. Abdul-Jabbar | ||
| College of Science University of Salahaddin | ||
| Abstract | ||
| Chae et. al. (1995) have studied the concept of a-strongly q-continuous functions and (a, q)-closed graph. The aim of this paper is to investigate several new characterizations and properties of a-strongly q-continuous functions and (a, q)-closed graph. Also, we define a new type of functions called aq-open functions, which is stronger than quasi a-open and hence strongly a-open, and we obtain some characterizations and properties for it. It is shown that the graph of f, G ( f ) is (a, q)-closed graph if and only if for each filter base Y in X q-converging to some p in X such that f (Y) a-converges to some q in Y holds, f ( p) = q. | ||
| Keywords | ||
| α-strongly θ-continuity; αθ-open function and (α; θ)-closed graph | ||
|
Statistics Article View: 348 PDF Download: 278 |
||