CHARACTERIZATIONS OF FUNCTIONS WITH STRONGLY α - CLOSED GRAPHS

M. CALDAS(1), S. JAFARI(2), R. M. LATIF(3), T. NOIRI(4)

1. Departamento de Matematica Aplicada, Universidade Federal Fluminense, Rua Mario Santos Braga, s/n 24020-140, Niteroi, RJ BRASIL, e-mail: gmamccs@vm.u®.br
2. College of Vestsjaelland South Herresraede 11 4200 Slagelse, DENMARK, e-mail: jafari@stofanet.dk
3. Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals Dhahran 31261 SAUDI ARABIA, e-mail: raja@kfupm.edu.sa
4. 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 JAPAN, e-mail: t.noiri@nifty.com

Abstract

In this paper, we study some properties of functions with strongly α-closed graphs by utilizing α -open sets and the α -closure operator.

Keywords

α-open set α-T<sub>1</sub> space α-T<sub>2</sub> space Strongly α-closed graph.