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For each, let be a closed map with compact values, and u.s.c.s.c
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It is obvious that a weak closed mapping must be a closed mapping, the inverse is not true.
Therefore, the graph of is closed, and is a closed map.
map with nonempty closed -convex values, (ii) is a compact continuous map with nonempty closed -convex values, (iii) is a closed map with nonempty values, (iv) for each, is -quasiconvex; for each, is -quasiconvex-like and. . for each, is -quasiconvex; for each, is -quasiconvex-like and.
Therefore, is a closed map.
Since is a closed map with nonempty values, we have that is a closed map with nonempty values.
Moreover, (iii 2 is a closed map with nonempty values and is an u.s.c.s.c
It is easy to see that T is a closed map on X.
Since X0 is compact, we only need to show W is a closed map (see [22]).
Since is a nonempty compact set, by [16] we only need to show that is a closed map.
Since X0 is compact, we only need to show that T is a closed map (see [22]).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com