Rates of ($T$-)asymptotic regularity of the generalized Krasnoselskii–Mann-type iteration

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 30 Jul 2025Embargo end date: 01 Jan 2025Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Portugaliae Mathematica, volume 83, pages 187-205 (issn: 0032-5155, eissn: 1662-2758,

Copyright policy )

Authors: Paulo Firmino; Laurenţiu Leuştean;

doi: 10.4171/pm/2148 , 10.48550/arxiv.2501.09523

arXiv: 2501.09523

Rates of ($T$-)asymptotic regularity of the generalized Krasnoselskii–Mann-type iteration

- Summary
- Subjects
- Metrics

Abstract

In this paper, we use proof mining methods to compute rates of ( T -)asymptotic regularity of the generalized Krasnoselskii–Mann-type iteration associated to a nonexpansive mapping T:X\to X in a uniformly convex normed space X . For special choices of the parameter sequences, we obtain quadratic rates.

Related Organizations

View all View all

Keywords

Optimization and Control (math.OC), 47H05, 47H09, 47J25, FOS: Mathematics, Mathematics - Logic, Logic (math.LO), Mathematics - Optimization and Control

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

Green

gold

Fields of Science

Fields of Science