| Title:
|
Fixed point characterization of completeness on lattices for relatively isotone mappings (English) |
| Author:
|
Klimeš, Jiří |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
20 |
| Issue:
|
3 |
| Year:
|
1984 |
| Pages:
|
125-132 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A06 |
| MSC:
|
06B23 |
| idZBL:
|
Zbl 0574.06004 |
| idMR:
|
MR784863 |
| . |
| Date available:
|
2008-06-06T06:13:34Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107195 |
| . |
| Reference:
|
[1] Abian S., Brown A. B.: A theorem on partially ordered sets, with applications to fixed point theorems.Canad. J. Math. 13 (1961), 78-82. Zbl 0098.25502, MR 0123492 |
| Reference:
|
[2] Birkhoff G.: Lattice theory.AMS Coll. Publ. 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[3] Crawley P., Dilworth R. P.: Algebraic Theory of Lattices.Prentice - Hall, NJ, 1973. Zbl 0494.06001 |
| Reference:
|
[4] Davis A. C.: A characterization of complete lattices.Pacific J. Math. 5 (1955), 311-319. Zbl 0064.26101, MR 0074377 |
| Reference:
|
[5] Kolibiar M.: Über Fixpunktsätze in geordneten Mengen.Spisy Přírod. Fak. Univ. Brno 457 (1964), 469-472. |
| Reference:
|
[6] Markowski G.: Chain complete posets and directed sets with applications.Algebra Universalis 6 (1976), 53-68. MR 0398913 |
| Reference:
|
[7] Tarski A.: A lattice theoretical fixpoint theorem and its applications.Pacific J. Math. 5 (1955), 285-309. Zbl 0064.26004, MR 0074376 |
| Reference:
|
[8] Wong J. S.: Common fixed points of commuting monotone mappings.Canad. J. Math. 19 (1967), 617-620. Zbl 0153.02702, MR 0210627 |
| . |
