Asymptotic Properties of Monotonic Nonexpansive Mappings

Authors:
Sylvain Sorin
Affiliations:
Laboratoire d’Econométrie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris and Equipe Combinatoire et Optimisation, UFR 921, Université P. et M. Curie – Paris 6, 175 Rue du ...
Venue:
Discrete Event Dynamic Systems
Year:
2004

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Abstract

Let T be a nonexpansive monotonic mapping from C to itself where C is a closed subset of a space of bounded real functions, with the supremum norm. We study asymptotic properties of several average iterates of T, related to the cycle time.