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Fixed points and retracts in pseudo-ordered sets
by
Jiri Klimes
University of T.Bata in Zlin
Fixed point property for monotone mappings on ordered sets is a generic problem which is widely studied. The aim of this presentation is to indicate some fixed poin theorems for pseudo-ordered sets. It is shown, how known results about fixed points and retracts can be generalized for this case.
We prove the structure theorems for sets of fixed points of monotone mappings on two classes of pseudo-ordered sets. The main result of the presentation is the characterization of retracts in the class of complete T-lattices.
Date received: May 21, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # canq-92.