The fixed point property for ordered sets

An ordered set P has the fixed point property iff every order-preserving self-map of P has a fixed point. This paper traces the chronological development of research on this property, including most recent developments and open questions.

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Veröffentlicht in:Arabian journal of mathematics 2012-12, Vol.1 (4), p.529-547
1. Verfasser: Schröder, Bernd S. W.
Format: Artikel
Sprache:eng
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Zusammenfassung:An ordered set P has the fixed point property iff every order-preserving self-map of P has a fixed point. This paper traces the chronological development of research on this property, including most recent developments and open questions.
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-012-0049-7