An example on the Mann iteration method for Lipschitz pseudocontractions

Authors
Chidume, CE Mutangadura, SA
Citation
Ce. Chidume et Sa. Mutangadura, An example on the Mann iteration method for Lipschitz pseudocontractions, P AM MATH S, 129(8), 2001, pp. 2359-2363
Citations number
12
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
8
Year of publication
2001
Pages
2359 - 2363
Database
ISI
SICI code
0002-9939(2001)129:8<2359:AEOTMI>2.0.ZU;2-1
Abstract
An example of a Lipschitz pseudocontractive map with a unique fixed point i s constructed for which the Mann iteration sequence fails to converge. This resolves a long standing open problem.