The fixed point property and unbounded sets in spaces of negative curvature
Metric Geometry
2014-08-01 v1
Abstract
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
Keywords
Cite
@article{arxiv.1407.8438,
title = {The fixed point property and unbounded sets in spaces of negative curvature},
author = {Bozena Piatek},
journal= {arXiv preprint arXiv:1407.8438},
year = {2014}
}
Comments
Israel Journal of Mathematics, to appear