Title of article :
On α∗−continuous and contra α∗−continuous mappings in topological spaces with soft setting
Author/Authors :
Ali Abbas, Nadia M. Ministry of Education - Directorate General of Education, Baghdad, Iraq , Khalil, Shuker Mahmood Department of Mathematics - College of Science - University of Basrah, Basrah, Iraq , Hamza, Alaa Abdullah Ministry of Education - The General Directorate For Al-Najaf Al Ashraf, Iraq
Abstract :
In this work, some new connotations of continuous mappings such as α∗ - continuous mapping (α∗−CM), irresolute α∗−mapping (Iα∗−CM), and strongly α∗− continuous mapping (Sα∗−CM) are studied and some of their characteristics are discussed. In other side, new some classes of contra continuous mappings are investigated in this work, they are called contra α∗ - continuous mapping (Cα∗−CM).
Keywords :
alpha-$open sets , alpha∗−open sets , alpha∗-regular spaces
Journal title :
International Journal of Nonlinear Analysis and Applications