Convergence of generic infinite products of order-preserving mappings

Authors
Reich, S Zaslavski, AJ
Citation
S. Reich et Aj. Zaslavski, Convergence of generic infinite products of order-preserving mappings, POSITIVITY, 3(1), 1999, pp. 1-21
Citations number
17
Categorie Soggetti
Mathematics
Journal title
POSITIVITY
ISSN journal
13851292 → ACNP
Volume
3
Issue
1
Year of publication
1999
Pages
1 - 21
Database
ISI
SICI code
1385-1292(199903)3:1<1:COGIPO>2.0.ZU;2-#
Abstract
In this paper we establish several results concerning the asymptotic behavi or of (random) infinite products of generic sequences of order-preserving m appings on intervals of an ordered Banach space. In addition to weak ergodi c theorems we also obtain convergence to a unique common fixed point.