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math.FA2018
The finitary content of sunny nonexpansive retractions
Ulrich Kohlenbach, Andrei Sipos
We use techniques of proof mining to extract a uniform rate of metastability (in the sense of Tao) for the strong convergence of approximants to fixed points of uniformly continuou…
math.OC2018
Effective strong convergence of the proximal point algorithm in CAT(0) spaces
Laurentiu Leustean, Andrei Sipos
We apply methods of proof mining to obtain uniform quantitative bounds on the strong convergence of the proximal point algorithm for finding minimizers of convex, lower semicontinu…
math.OC2018
The asymptotic behaviour of convex combinations of firmly nonexpansive mappings
Andrei Sipos
We show that in the framework of CAT(0) spaces, any convex combination of two mappings which are firmly nonexpansive -- or which satisfy the more general property -- is asy…