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The beginning point: New York's lower Hudson Valley.
Maybe it can just be the beginning point.
We begin with a common fixed point theorem for two pairs of partially weakly increasing functions on an ordered metric space.
We begin with a common fixed point theorem for two pairs of partially weakly increasing functions on an ordered modular function spaces.
In this article, we begin with a common fixed point result for a pair (T, f) of weakly compatible as well as R-weakly commuting maps in the setting of a Hausdorff locally convex space.
The graphs also show that the most common returning point occurs at the beginning of the trip.
He began pointing out traffic violators.
Using the argument from the beginning of the proof, we conclude that S and T have a common fixed point.
A conference in Haguenau began on 12 June 1540, but during a month's discussion the two sides failed to agree on a common starting point.
Methods in maths is a common talking point.
Our object is to solve the following two-set split common fixed point problem: begin{aligned} mbox{find }x^in operatorname{Fix}(T quad mbox{such that} quad Ax^in operatorname{Fix}(S). end{aligned} (3.8) We use Γ to denote the set of solutions of (3.8), that is, Gamma=bigl{ x^mid x^in operatorname{Fix}(T), Ax^in operatorname{Fix}(S) bigr}.
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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