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We assert that is bounded.
We assert that is strictly contractive on.
We assert that { x n } is a Cauchy sequence.
We assert that is a generalized complete metric space.
We assert that y^{Delta} > 0 mbox{ eventually}.
We assert that is a strictly contractive mapping with the Lipschitz constant.
where We assert that belongs to.
Now, we assert that is bounded.
Finally, we assert that is an increasing operator.
First, we assert that ϒ1 is a KKM mapping.
We assert that (3.29).
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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