… Sets P2, P6, P8 and P10 in [14] and all 11-element examples in [17] are … We will need
the notion of the strong fixed point property (SFPP) introduced in [3]. An ordered set P has the …

… Schröder introduced and developed the concept of retractable points and retractable sets
[20, 21, 22]. Another topic intensively investigated was the question if the product of two posets …

… sets without the fixed point property, such that all proper retracts have the fixed point property…
how methods developed for work on the fixed point property can be used in other areas. For …

… small sets for which the fixed point property is easy to verify. For general collapsible ordered
sets, the … Fixed point property for 11-element sets. Order 10, 329–347 (1993) 10. Schröder, B.…

… set P has the fixed point property iff every order-preserving self-map f : P → P has a fixed point
x = f (… Fixed point property for 11-element sets. Order 10, 329–347 (1993) 44. Schröder, B.: …

… ordered set of height two has the fixed point property, … set of height three with the fixed point
property and no irreducible elements. We characterize the minimal automorphic ordered sets …

… have the FPP if every increasing function on P has a fixed point. … fixed point theory from the
viewpoint of order theory, the well-known issue existed, as follows: If X and Y are ordered sets …

… We introduce retractable points and show how this notion provides the key for a classification
of all sets with 11 elements that have the fixed point property. … These are the sets P2, P6 …

… If P and X are ordered sets with the fixed point property, does P × X have the fixed point
property? In case one of P and X is finite the answer is yes. Here we answer the question …

… such that T and all Pf have the strong fixed point property then Q has the strong fixed point
property. Moreover we show the strong fixed point property … for 11-element sets, submitted …