English

Construction of fixed points of asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces

Metric Geometry 2021-04-29 v3

Abstract

Kohlenbach and Leustean have shown in 2010 that any asymptotically nonexpansive self-mapping of a bounded nonempty UCWUCW-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.

Keywords

Cite

@article{arxiv.2008.03930,
  title  = {Construction of fixed points of asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces},
  author = {Andrei Sipos},
  journal= {arXiv preprint arXiv:2008.03930},
  year   = {2021}
}