Convergence of generic infinite products of affine operators
Reich, S. ; Zaslavski, A. J.
Abstr. Appl. Anal., Tome 4 (1999) no. 1, p. 1-19 / Harvested from Project Euclid
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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.
Publié le : 1999-05-14
Classification:  47H10,  58F99,  54E52 
@article{1049907137,
     author = {Reich, S. and Zaslavski, A. J.},
     title = {Convergence of generic infinite products of affine operators},
     journal = {Abstr. Appl. Anal.},
     volume = {4},
     number = {1},
     year = {1999},
     pages = { 1-19},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049907137}
}

Reich, S.; Zaslavski, A. J. Convergence of generic infinite products of affine operators. Abstr. Appl. Anal., Tome 4 (1999) no. 1, pp.  1-19. http://gdmltest.u-ga.fr/item/1049907137/