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Furthermore, it follows from and the compactness of that is a compact set.
Next, it follows from and the compactness of that is a compact set.
Then is a compact set and is a compact set.
Thus X is a compact set.
By Lemma 2.2, is a compact set.
(ii) ; (iii) is a compact set.
From Theorem 3.5, we note that is a compact set.
Let a compact set (Fsubsetmathbb{R}^{d}) be given.
(5) Note that K is a compact set.
Now, we show that is a compact set.
Then,,, and are compact sets and is a compact set.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com