Weak chain-completeness and fixed point property for pseudo-ordered sets
Czechoslovak Mathematical Journal (2005)
- Volume: 55, Issue: 2, page 365-369
- ISSN: 0011-4642
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topBhatta, S. Parameshwara. "Weak chain-completeness and fixed point property for pseudo-ordered sets." Czechoslovak Mathematical Journal 55.2 (2005): 365-369. <http://eudml.org/doc/30950>.
@article{Bhatta2005,
abstract = {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 [3]) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point.},
author = {Bhatta, S. Parameshwara},
journal = {Czechoslovak Mathematical Journal},
keywords = {pseudo-ordered set; trellis; complete trellis; fixed point property; weak chain completeness; pseudo-ordered set; trellis; complete trellis; fixed-point property; weak chain completeness},
language = {eng},
number = {2},
pages = {365-369},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weak chain-completeness and fixed point property for pseudo-ordered sets},
url = {http://eudml.org/doc/30950},
volume = {55},
year = {2005},
}
TY - JOUR
AU - Bhatta, S. Parameshwara
TI - Weak chain-completeness and fixed point property for pseudo-ordered sets
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 2
SP - 365
EP - 369
AB - 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 [3]) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point.
LA - eng
KW - pseudo-ordered set; trellis; complete trellis; fixed point property; weak chain completeness; pseudo-ordered set; trellis; complete trellis; fixed-point property; weak chain completeness
UR - http://eudml.org/doc/30950
ER -
References
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- 10.2307/2323807, Amer. Math. Monthly 98 (1991), 353–354. (1991) Zbl0749.04002MR1103192DOI10.2307/2323807
- Chain-complete posets and directed sets with applications, Algebra Universalis 6 (1976), 54–69. (1976) MR0398913
- 10.1007/BF02944982, Algebra Universalis 1 (1971), 218–233. (1971) Zbl0242.06003MR0302523DOI10.1007/BF02944982
- Trellis Theory, Mem. Amer. Math. Soc. 121, Providence, 1972. (1972) Zbl0242.06004MR0325474
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