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Artículo
Quantitative asymptotic regularity results for the composition of two mappings
(Taylor & Francis, 2016)
In this paper, we use techniques which originate from proof mining to give rates of asymptotic regularity and metastability for a sequence associated to the composition of two firmly nonexpansive mappings.
Artículo
The asymptotic behavior of the composition of firmly nonexpansive mappings
(Springer, 2015-11)
In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature ...
Artículo
What do 'convexities' imply on Hadamard manifolds?
(Springer, 2016-09)
Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and convex hulls) have been recently established on Hadamard manifolds. In this paper we prove that these ...
Artículo
A uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” game
(MSP, 2021-01-26)
We analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. More precisely, we focus on a uniform betweenness property and use it in the study of a discrete ...