2014/07/31 by Bożena Piątek, Bozena Piatek, Piatek, Bozena
Computer Science · Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Metric Geometry (math.MG) #Optimization and Variational Analysis #Point processes and geometric inequalities #math.MG
paper · pdf · doi:10.48550/arxiv.1407.8438
Israel Journal of Mathematics, to appear
arxiv created 2014/07/31 · openalex publication_date 2014/07/31 · arxiv updated 2014/08/01 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Motivated by the well-known cases of the real Hilbert ball and complete R-trees, being both particular cases of CAT(-1) spaces, we give an affirmative answer to the question of whether the geodesically boundedness property is a necessary and sufficient condition for a closed convex subset K of a complete CAT(k) space, with k < 0, to have the fixed point property for nonexpansive mappings