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For understanding "step size" in the context of iteration method, it is useful to know the maximization of LL:(LL = A + Bβ + Cβ 2), and it's convergence to maximum.
In this section, we show the convergence of the sequences {x n }, {y n } and {w n } defined by Algorithm 2.1 is based on the extragradient method and Armijo-type linesearch techniques which solves the problem of finding a common element of two sets ∩ i = 1 p Fix S i and Sol f, C. To prove it's convergence, we need the following preparatory result.
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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