S_g- Continuity in Topological Spaces

S_g- Continuity in Topological Spaces

Halgwrd M. Darwesh1, Nawroz O.Hassan2

1 Mathematics Department, School of Science , Faculty of Science and Science Education,  University of Sulaimani, Sulaimani, Kurdistan Region, Iraq.                                                                           
2 Kurdistan Institution for Strategic students and scientific Research, Department of Information and Technology, Sulaimani, Kurdistan Region, Iraq.
E-mail: darweshymath@yahoo.com , halgwrd.darwesh@univsul.edu.iq
E-mail: naweozosm@gmail.com

Article info

Original: 19 Jan. 2015
Revised: 16 Mar. 2015
Accepted: 19 Apr. 2015
Published online:  20 Sep. 2015

Key Words:
S_g-open set,
Semi-open set,
g-closed set,
S_g-continuous Function     

The aim of the present paper, is to introduce and study a new class of functions which is strictly placed between the class of S_c-continuous functions and the class of semi-continuous function, we call it the class of  S_g-continuous functions. The basic properties, characterizations and  relationships with some other classes of continuity are also obtained.

Kewan Omer,
Sep 20, 2015, 9:34 AM