- idUS
- Investigación
- Ciencias
- Análisis Matemático
- Artículos (Análisis Matemático)
- Listar Artículos (Análisis Matemático) por autor
Listar Artículos (Análisis Matemático) por autor "Nicolae, Adriana"
Mostrando ítems 1-17 de 17
-
Artículo
A note on an ergodic theorem in weakly uniformly convex geodesic spaces
Leustean, Laurentiu; Nicolae, Adriana (Springer, 2015-11)Karlsson and Margulis [A. Karlsson, G. Margulis, A multiplicative ergodic theorem and nonpositively curved spaces. Commun. ...
-
Artículo
A proof-theoretic bound extraction theorem for CAT(κ)-spaces
Kohlenbach, Ulrich Wilhelm; Nicolae, Adriana (Springer, 2017-06)Starting in 2005, general logical metatheorems have been developed that guarantee the extractability of uniform effective ...
-
Artículo
A uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” game
Kohlenbach, Ulrich Wilhelm; López Acedo, Genaro; Nicolae, Adriana (MSP, 2021-01-26)We analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. ...
-
Artículo
An abstract proximal point algorithm
Leustean, Laurentiu; Nicolae, Adriana; Sipos, Andrei (Springer, 2018)The proximal point algorithm is a widely used tool for solving a variety of convex optimization problems such as finding ...
-
Artículo
Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces
Nicolae, Adriana (Elsevier, 2013-08)We further study averaged and firmly nonexpansive mappings in the setting of geodesic spaces with a main focus on the ...
-
Artículo
Borsuk-Dugundji type extension theorems with Busemann convex target spaces
Espínola García, Rafael; Madiedo Castro, Óscar Reynaldo; Nicolae, Adriana (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
Continuous selections of Lipschitz extensions in metric spaces
Espínola García, Rafael; Nicolae, Adriana (Springer, 2015-09)This paper deals with the study of parameter dependence of extensions of Lipschitz mappings from the point of view of ...
-
Artículo
Effective results on compositions of nonexpansive mappings
Leustean, Laurentiu; Nicolae, Adriana (Elsevier, 2014-02-15)This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive ...
-
Artículo
Effective results on nonlinear ergodic averages in CAT(κ) spaces
Leustean, Laurentiu; Nicolae, Adriana (Cambridge University Press, 2016-12)In this paper we apply proof mining techniques to compute, in the setting of CAT(κ) spaces (with κ > 0), effective and ...
-
Artículo
Fixed points, selections and common fixed points for nonexpansive-type mappings
Espínola García, Rafael; Lorenzo Ramírez, Josefa; Nicolae, Adriana (Elsevier, 2011-10-15)We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and ...
-
Artículo
Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits
Nicolae, Adriana (Springer Open, 2010)We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, ...
-
Artículo
Geodesic Ptolemy spaces and fixed points
Espínola García, Rafael; Nicolae, Adriana (Elsevier, 2011-01-01)We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic ...
-
Artículo
Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces
Espínola García, Rafael; Nicolae, Adriana (Springer, 2012-02)Let A and X be nonempty, bounded and closed subsets of a geodesic metric space (E, d). The minimization (resp. maximization) ...
-
Artículo
Quantitative asymptotic regularity results for the composition of two mappings
Kohlenbach, Ulrich Wilhelm; López Acedo, Genaro; Nicolae, Adriana (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
Quantitative results on Fejér monotone sequences
Kohlenbach, Ulrich Wilhelm; Leustean, Laurentiu; Nicolae, Adriana (World Scientific, 2017)We provide in a unified way quantitative forms of strong convergence results for numerous iterative procedures which satisfy ...
-
Artículo
The asymptotic behavior of the composition of firmly nonexpansive mappings
Ariza Ruiz, David; López Acedo, Genaro; Nicolae, Adriana (Springer, 2015-11)In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding ...
-
Artículo
What do 'convexities' imply on Hadamard manifolds?
Kristály, Alexandru; Li, Chong; López Acedo, Genaro; Nicolae, Adriana (Springer, 2016-09)Various results based on some convexity assumptions (involving the exponential map along with affine maps, geodesics and ...