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Mostrando ítems 1-10 de 24
Artículo
Diversities, hyperconvexity and fixed points
(Elsevier, 2014-01)
Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. In this work we take up a number of questions about hyperconvexity, diversities and fixed points ...
Artículo
On stationary points of nonexpansive set-valued mappings
(Springer, 2015-12)
In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that the existence of such points under certain conditions follows as a consequence of the existence of ...
Artículo
Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces
(Springer, 2012-02)
Let A and X be nonempty, bounded and closed subsets of a geodesic metric space (E, d). The minimization (resp. maximization) problem denoted by min(A, X) (resp. max(A, X)) consists in finding (a0,x0)∈A×X(a0,x0)∈A×X such ...
Artículo
Geodesic Ptolemy spaces and fixed points
(Elsevier, 2011-01-01)
We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic Ptolemy spaces with a uniformly continuous midpoint map are reflexive and that in such a setting ...
Artículo
The fixed point property and unbounded sets in CAT(0) spaces
(Elsevier, 2013-12-15)
In this work we study the fixed point property for nonexpansive self-mappings defined on convex and closed subsets of a CAT(0) space. We will show that a positive answer to this problem is very much linked with the Euclidean ...
Tesis Doctoral
Geometry in metric spaces and fixed point theorems for classes of nonexpansive type mappings
(2023-03-27)
The main purpose of this work is to present recent results obtained on the existence of Fxed points for nonexpansive mappings and orbit-nonexpansive mappings in the general context of metric spaces. Additionally, our ...
Artículo
Artículo
On selections of the metric projection and best proximity pairs in hyperconvex spaces
(Maria Curie-Skłodowska University, 2005)
In this work we present new results on nonexpansive retractions and best proximity pairs in hyperconvex metric spaces. We sharpen the main results of R. Esp´ınola et al. in [3] (Nonexpansive retracts in hyperconvex spaces, ...
Artículo
On a unified study of relative Chebyshev radii and Hausdorff measures of noncompactness
(University of Houston, 2004)
The paper is concerned with the notion of the Lifschitz modulus and its relationship with both relative Chebyshev radii and Hausdorff measures of noncompactness.