pseudo-ordered set; trellis; complete trellis; fixed point property; weak chain completeness
In this paper the notion of weak chain-completeness is introduced for pseudo-ordered sets as an extension of the notion of chain-completeness of posets (see ) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point.
 P. Crawley and R. P. Dilworth: Algebraic Theory of Lattices. Prentice-Hall, Englewood Cliffs, 1973.
 G. Markowski: Chain-complete posets and directed sets with applications
. Algebra Universalis 6 (1976), 54–69. MR 0398913