Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings

Details Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings

2007-10-09

arxiv.org/abs/0710.1692v1

Mathematics

Functional Analysis

in C.S. Calude, G. Stefanescu, and M. Zimand (eds.), Combinatorics and Related Areas. A Collection of Papers in Honour of the

Scientific paper

In this paper we obtain new effective results on the Halpern iterations of nonexpansive mappings using methods from mathematical logic or, more specifically, proof-theoretic techniques. We give effective rates of asymptotic regularity for the Halpern iterations of nonexpansive self-mappings of nonempty convex sets in normed spaces. The paper presents another case study in the project of {\em proof mining}, which is concerned with the extraction of effective uniform bounds from (prima-facie) ineffective proofs.

Affiliated with

Also associated with

No associations

Rating

Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rates of asymptotic regularity for Halpern iterations of nonexpansive mappings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-116519