On Mann iteration in Hilbert spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2007 English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 66, pages 2,230-2,236 (issn: 0362-546X,

Copyright policy )

Authors: Rafiq, Arif;

doi: 10.1016/j.na.2006.03.012

On Mann iteration in Hilbert spaces

- Summary
- Subjects
- Metrics

Abstract

The author proves the strong convergence of certain Mann iterates of a hemicontractive map in a Hilbert space. Not all results, however, seem to be correct, as was pointed out by \textit{Y.\,Qing} [ibid.\ 68, No.\,2 (A), 460 (2008; Zbl 1136.47048), see the following review].

Related Organizations

COMSATS University Islamabad
Pakistan

Keywords

Mann iteration, Fixed-point theorems, Iterative procedures involving nonlinear operators, Hilbert space, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., pseudocontractive maps

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).	23
	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).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%

Found an issue? Give us feedback

23

Average

Top 10%

Fields of Science

Fields of Science

Upload OA version

Are you the author of this publication? Upload your Open Access version to Zenodo!

It’s fast and easy, just two clicks!

uploadUpload now