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The uniqueness of the limiting fixed point for some (alpha^ in ( 0, 1 ]) of each built sequence proved in Theorem 8(iv), which is also an (alpha^ -fuzzy fixed point of T, follows from the existence of the malpha^ -fuzzy^) such that (x^ in [ Tx^ ] _{alpha^).
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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