2012Arabian Journal of MathematicsOpen access

The fixed point property for ordered sets

Bernd S. W. Schröder

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Abstract

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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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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Available abstract

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.

Key concepts: Property (philosophy), Mathematics, Fixed-point property, Fixed point, Order (exchange), Point (geometry), Set (abstract data type), Combinatorics

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