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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 setsand $\alpha^{m}$-closed sets and studied some of their properties.

\alpha^{m}}(A)$, $C_{\alpha^{m}}(A)$ and $\alpha^{m}$-open and closed Functions