Title:
|
Antimorphisms of partially ordered sets (English) |
Author:
|
Tasković, Milan R. |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
25 |
Issue:
|
2 |
Year:
|
1989 |
Pages:
|
127-135 |
. |
Category:
|
math |
. |
MSC:
|
05A15 |
MSC:
|
06A06 |
idZBL:
|
Zbl 0699.06005 |
idMR:
|
MR1188058 |
. |
Date available:
|
2008-06-06T06:20:19Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107350 |
. |
Reference:
|
[1] A. Abian: A fixed point theorem for nonincreasing mappings.Boll. Un. Mat. Ital. 2 (1969), 200-201. MR 0244110 |
Reference:
|
[2] S. Abian A. Brown: A theorem on partially ordered sets with applications to fixed point theorem.Canad. J. Math. 13 (1961), 78-82. MR 0123492 |
Reference:
|
[3] A. Davis: A characterization of complete lattice.Pacific J. Math. 5 (1955), 311-319. MR 0074377 |
Reference:
|
[4] P. H. Edelman: On a fixed point theorem for partially ordered set.Discrete Math. 15 (1979), 117-119. MR 0523085 |
Reference:
|
[5] Dj. Kurepa: Fixpoints of monotone mapping of oredered sets.Glasnik Mat. fiz. astr. 19 (1964), 167-173. MR 0181590 |
Reference:
|
[6] Dj. Kurepa: Fixpoints of decreasing mapping of ordered sets.Publ. Inst. Math. Beograd (N. S.) 18 (32) (1975), 111-116. MR 0369189 |
Reference:
|
[7] F. Metcalf T. H. Payne: On the existence of fixed points in a totally ordered set.Proc. Amer. Math. Soc. 31 (1972), 441-444. MR 0286722 |
Reference:
|
[8] H., M. Höft: Some fixed point theorems for partially ordered sets.Canad. J. Math. 28 (1976), 992-997. MR 0419306 |
Reference:
|
[9] I. Rival: A fixed point theorem for finite partially ordered sets.J. Combin. Theory Seг. A 21 (1976), 309-318. MR 0419308 |
Reference:
|
[10] R. Smithson: Fixed points in partially ordered sets.Pacific J. Math. 45 (1973), 363-367. Zbl 0248.06002, MR 0316323 |
Reference:
|
[11] Z. Shmuely: Fixed points of antitone mappings.Proc. Amer. Math. Soc. 52 (1975), 503-505. Zbl 0287.06005, MR 0373982 |
Reference:
|
[12] A. Taгski: A lattice theoretical fixpoint theorem and its applications.Pacific J. Math. 5 (1955), 285-309. MR 0074376 |
Reference:
|
[13] M. Taskovič: Banach's mappings of fixed points on spaces and ordered sets.Thesis, Math. Balcanica 9 (1979), p. 130. |
Reference:
|
[14] M. Taskovič: Partially ordered sets and some fixed point theorems.Publ. Inst. Math. Beograd (N. S.) 27 (41) (1980), 241-247. MR 0621956 |
Reference:
|
[15] L. E. Ward: Completeness in semilattices.Canad. J. Math. 9 (1957), 578-582. MR 0091264 |
Reference:
|
[16] W. S. Wong: Common fixed points of commuting monotone mappings.Canad. J. Math. 19 (1967), 617-620. Zbl 0153.02702, MR 0210627 |
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