Construction of fixed points of asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
Abstract
Kohlenbach and Leustean have shown in 2010 that any asymptotically nonexpansive self-mapping of a bounded nonempty $UCW$-hyperbolic space has a fixed point. In this paper, we adapt a construction due to Moloney in order to provide a sequence that converges strongly to such a fixed point.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2020
- arXiv:
- arXiv:2008.03930
- Bibcode:
- 2020arXiv200803930S
- Keywords:
-
- Mathematics - Metric Geometry;
- 47H09;
- 47H10;
- 47J25