Effective results on compositions of nonexpansive mappings

preprint2013arXivOpen access

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,δ)-convex spaces, a class of geodesic spaces which generalizes metric spaces with a convex geodesic bicombing.

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