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math.OC2017
An abstract proximal point algorithm
Laurentiu Leustean, Adriana Nicolae, Andrei Sipos
The proximal point algorithm is a widely used tool for solving a variety of convex optimization problems such as finding zeros of maximally monotone operators, fixed points of none…
math.OC2017
An application of proof mining to the proximal point algorithm in CAT(0) spaces
Laurentiu Leustean, Andrei Sipos
We compute, using techniques originally introduced by Kohlenbach, the first author and Nicolae, uniform rates of metastability for the proximal point algorithm in the context of CA…