Convergence of Krasnoselskii-Mann iterations of nonexpansive operators

Authors
Reich, S Zaslavski, AJ
Citation
S. Reich et Aj. Zaslavski, Convergence of Krasnoselskii-Mann iterations of nonexpansive operators, MATH COMP M, 32(11-13), 2000, pp. 1423-1431
Citations number
15
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
32
Issue
11-13
Year of publication
2000
Pages
1423 - 1431
Database
ISI
SICI code
0895-7177(200012)32:11-13<1423:COKION>2.0.ZU;2-K
Abstract
In this paper, we show that a generic nonexpansive operator on a closed and convex, but not necessarily bounded, subset of a hyperbolic space has a un ique fixed point which attracts the Krasnoselskii-Mann iterations of this o perator. (C) 2000 Elsevier Science Ltd. All rights reserved.