Convergence of generic infinite products of affine operators

S. Reich and A. J. Zaslavski

Abstract and Applied Analysis, 1999, vol. 4, 1-19

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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:548342

DOI: 10.1155/S1085337599000032

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