  In this paper, we derive more on $\alpha^{m}$-continuous functions and
$\alpha^{m}$-irresolute functions with $\alpha^{m}$-open maps and
$\alpha^{m}$-closed maps in topological spaces also we introduce
$I_{\alpha^{m}}(A)$ and $C_{\alpha^{m}}(A)$ by using the $\alpha^{m}$-open sets
and $\alpha^{m}$-closed sets and studied some of their properties.
