Abstract and Applied Analysis

Convergence of generic infinite products of affine operators

S. Reich and A. J. Zaslavski

Full-text: Open access

Abstract

We establish several results concerning the asymptotic behavior of random infinite products of generic sequences of affine uniformly continuous operators on bounded closed convex subsets of a Banach space. In addition to weak ergodic theorems we also obtain convergence to a unique common fixed point and more generally, to an affine retraction.

Article information

Source
Abstr. Appl. Anal., Volume 4, Number 1 (1999), 1-19.

Dates
First available in Project Euclid: 9 April 2003

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1049907137

Digital Object Identifier
doi:10.1155/S1085337599000032

Mathematical Reviews number (MathSciNet)
MR1799458

Zentralblatt MATH identifier
0988.47037

Subjects
Primary: 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30] 58F99
Secondary: 54E52

Citation

Reich, S.; Zaslavski, A. J. Convergence of generic infinite products of affine operators. Abstr. Appl. Anal. 4 (1999), no. 1, 1--19. doi:10.1155/S1085337599000032. https://projecteuclid.org/euclid.aaa/1049907137


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