3 citations · 6 across the 6 of their papers we have counts for
9 papers
Recognizing weighted means in geodesic spaces
Ariel Goodwin, Adrian S. Lewis, Genaro Lopez-Acedo +1
Geodesic metric spaces support a variety of averaging constructions for given finite sets. Computing such averages has generated extensive interest in diverse disciplines. Here we…
Convex optimization on CAT(0) cubical complexes
Ariel Goodwin, Adrian S. Lewis, Genaro Lopez-Acedo +1
We consider geodesically convex optimization problems involving distances to a finite set of points in a CAT(0) cubical complex. Examples include the minimum enclosing ball pro…
Horoballs and the subgradient method
Adrian S. Lewis, Genaro Lopez-Acedo, Adriana Nicolae
To explore convex optimization on Hadamard spaces, we consider an iteration in the style of a subgradient algorithm. Traditionally, such methods assume that the underlying spaces a…
"Lion-Man" and the Fixed Point Property
Genaro López-Acedo, Adriana Nicolae, Bożena Piątek
This paper focuses on the relation between the fixed point property for continuous mappings and a discrete lion and man game played in a strongly convex domain. Our main result sta…
Moduli of regularity and rates of convergence for Fejér monotone sequences
Ulrich Kohlenbach, Genaro López-Acedo, Adriana Nicolae
In this paper we introduce the concept of modulus of regularity as a tool to analyze the speed of convergence, including the finite termination, for classes of Fejér monotone seque…
Quantitative asymptotic regularity results for the composition of two mappings
Ulrich Kohlenbach, Genaro Lopez-Acedo, Adriana Nicolae
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 firm…
The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings
David Ariza-Ruiz, Genaro López-Acedo, Adriana Nicolae
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 direct…
What do `convexities' imply on Hadamard manifolds?
Alexandru Kristály, Chong Li, Genaro Lopez +1
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 ma…
Firmly nonexpansive mappings in classes of geodesic spaces
David Ariza-Ruiz, Laurentiu Leustean, Genaro Lopez-Acedo
Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators. In this paper we do a…