Functions Associated with $^*g \hat{\alpha}$-Closed Sets in Topological Spaces
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Keywords:
$^*g \hat{\alpha}$-closed set, Continuous function, $^*g \hat{\alpha}$-continuous map, $^*g \hat{\alpha}$-irresolute map, strongly $^*g \hat{\alpha}$-continuous map, perfectly $^*g \hat{\alpha}$-continuous mapAbstract
In this paper, we introduce $^*g \hat{\alpha}$-continuous maps and study their relation with various generalized continuous maps. We also discuss certain properties of $^*g \hat{\alpha}$-continuous maps. We then introduce $^*g \hat{\alpha}$-irresolute maps, strongly $^*g \hat{\alpha}$-continuous maps and perfectly $^*g \hat{\alpha}$-continuous maps in topological spaces and some properties of these maps are discussed.
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