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

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).

Keywords:

alpha-open sets , alpha^{*}-open sets , alpha^{*}-regular spaces