English

Effective results on compositions of nonexpansive mappings

Functional Analysis 2013-09-17 v2 Logic Metric Geometry

Abstract

This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive mappings. We obtain our quantitative results in the setting of (r,δ)(r,\delta)-convex spaces, a class of geodesic spaces which generalizes metric spaces with a convex geodesic bicombing.

Keywords

Cite

@article{arxiv.1306.5307,
  title  = {Effective results on compositions of nonexpansive mappings},
  author = {Laurentiu Leustean and Adriana Nicolae},
  journal= {arXiv preprint arXiv:1306.5307},
  year   = {2013}
}