# Article

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Keywords:
upper (lower) $\alpha$-continuous; upper (lower) $\alpha$-irresolute; strongly $\alpha$-closed graph; almost compact; almost paracompact
Summary:
Recently Popa and Noiri [10] established some new characterizations and basic properties of $\alpha$-continuous multifunctions. In this paper, we improve some of their results and examine further properties of $\alpha$-continuous and $\alpha$-irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].
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