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will be said to be an asymptotic pointwise nonexpansive mapping if there exists a sequence of mappings such that (2.1).
We will give three mappings such that (Q_{T}) for each mapping matches one of Examples 9-11, respectively.
Let,, be some set-valued mappings such that for each given,,, and be an -accretive mapping, respectively.
If are two set-valued mappings such that for any,, then is called a generalized mapping with respect to.
This paper identifies new bases for random variables through linear mappings such that the representation of the quantity of interest is more sparse with new basis functions associated with the new random variables.
Let be mappings such that (1.4).
Let and be affine mappings such that for each.
Let,, be a family of -accretive mappings such that.
Let be a family of nonexpansive mappings such that.
Then there exist two bi-Jensen mappings such that (1.5).
Then there exist two bi-quadratic mappings such that (2.6).
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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