On $\alpha^{*}-$continuous and contra $\alpha^{*}-$continuous mappings in topological spaces with soft setting

Document Type : Research Paper


1 Ministry of Education, Directorate General of Education/ Baghdad/ Al-Kark/3, Iraq.

2 Department of Mathematics, College of Science, University of Basrah, Basrah 61004, Iraq.

3 Ministry of Education, The General Directorate For Al-Najaf Al Ashraf, Iraq



In this work, some new connotations of continuous mappings such as $\alpha^{*}$ - continuous mapping $\left(\alpha^{*}-C M\right),$ irresolute $\alpha^{*}-$mapping $\left(I \alpha^{*}-C M\right),$ and strongly $\alpha^{*}-$ continuous mapping $\left(S \alpha^{*}-C M\right)$ 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 $\alpha^{*}$ - continuous mapping $\left(C \alpha^{*}-C M\right)$.