3 citations · 4 across the 4 of their papers we have counts for
5 papers
Stochastic and incremental subgradient methods for convex optimization on Hadamard spaces
Ariel Goodwin, Adrian S. Lewis, Genaro López-Acedo +1
As a foundation for optimization, convexity is useful beyond the classical settings of Euclidean and Hilbert space. The broader arena of nonpositively curved metric spaces, which i…
Basic convex analysis in metric spaces with bounded curvature
Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
Differentiable structure ensures that many of the basics of classical convex analysis extend naturally from Euclidean space to Riemannian manifolds. Without such structure, however…
Local linear convergence of alternating projections in metric spaces with bounded curvature
Adrian S. Lewis, Genaro López-Acedo, Adriana Nicolae
We consider the popular and classical method of alternating projections for finding a point in the intersection of two closed sets. By situating the algorithm in a metric space, eq…
Geodesic rays, the "Lion-Man" game, and the fixed point property
Genaro López-Acedo, Adriana Nicolae, Bożena Piątek
This paper focuses on the relation among the existence of different types of curves (such as directional ones, quasi-geodesic or geodesic rays), the (approximate) fixed point prope…
A uniform betweenness property in metric spaces and its role in the quantitative analysis of the "Lion-Man" game
Ulrich Kohlenbach, Genaro López-Acedo, Adriana Nicolae
In this paper 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 betwee…