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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
Proximal point algorithms on Hadamard manifolds: linear convergence and finite termination
(Society for Industrial and Applied Mathematics, 2016)
In the present paper, we consider inexact proximal point algorithms for finding singular points of multivalued vector fields on Hadamard manifolds. The rate of convergence is shown to be linear under the mild assumption ...
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 ...