Denjoy-Wolff theorems for Hilbert’s and Thompson’s metric spaces
2018
We study the dynamics of fixed point free mappings on the interior of a normal, closed cone in a Banach space that are nonexpansive with respect to Hilbert’s metric or Thompson’s metric. We establish several Denjoy-Wolff type theorems which confirm conjectures by Karlsson and Nussbaum for an important class of nonexpansive mappings. We also extend and put into a broader perspective results by Gaubert and Vigeral concerning the linear escape rate of such nonexpansive mappings.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
52
References
9
Citations
NaN
KQI