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Mostrando ítems 11-17 de 17
Artículo
Effective results on compositions of nonexpansive mappings
(Elsevier, 2014-02-15)
This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive mappings. We obtain our quantitative results in the setting of (r, δ)-convex spaces, a class ...
Artículo
Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits
(Springer Open, 2010)
We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings. We consider the ...
Artículo
Borsuk-Dugundji type extension theorems with Busemann convex target spaces
(Finnish Academy of Science and Letters, 2018)
In this work we study continuity properties of convex combinations in Busemann convex geodesic spaces and apply them to obtain two extension results for continuous and Lipschitz mappings with values in a Busemann convex space.
Artículo
Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces
(Elsevier, 2013-08)
We further study averaged and firmly nonexpansive mappings in the setting of geodesic spaces with a main focus on the asymptotic behavior of their Picard iterates. We use methods of proof mining to obtain an explicit ...
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 ...