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Namely, is a upper solution of (1.2).
Suppose that (F: overline{U}to{mathcal{P}}_{mathrm{cp},mathrm{c}}(C)) is a upper semicontinuous compact map.
Suppose that (F: overline{U}to{mathcal {P}}_{mathit{cp},c}(C)) is a upper semicontinuous compact map.
Let E be a Banach space, C a closed convex subset of E, U an open subset of C and 0 ∈ U. Suppose that F : U ¯ → P c p, c ( C ) is a upper semi-continuous compact map.
Let E be a Banach space, C a closed convex subset of E, U an open subset of C and 0 ∈ U. Suppose that F : U ¯ → P c p, c ( C ) is a upper semicontinuous compact map.
Suppose that (F: overline{U}to{mathcal{P}}_{cp,c}(C)) is a upper semicontinuous compact map; here ({mathcal{P}}_{cp,c}(C)) denotes the family of nonempty, compact convex subsets of C. Then either (i) F has a fixed point in (overline{U}), or (ii) there is a (uinpartial U) and (lambdain 0,1)) with (uin lambda F u)). .
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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