| Title:
|
A fuzzy version of Tarski's fixpoint theorem (English) |
| Author:
|
Stouti, Abdelkader |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
40 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
273-279 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given. (English) |
| Keyword:
|
fuzzy set |
| Keyword:
|
fuzzy order relation |
| Keyword:
|
complete lattices |
| Keyword:
|
monotone map |
| Keyword:
|
fixed point |
| MSC:
|
03E72 |
| MSC:
|
06B23 |
| MSC:
|
06D72 |
| MSC:
|
54A40 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1108.06008 |
| idMR:
|
MR2107022 |
| . |
| Date available:
|
2008-06-16T21:30:53Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116923 |
| . |
| Reference:
|
[1] Beg I.: Fixed points of fuzzy monotone maps.Arch. Math. (Brno) 35 (1999), 141–144. Zbl 1047.03044, MR 1711740 |
| Reference:
|
[2] Beg I.: Fixed points of fuzzy multivalued mappings with values in fuzzy orders sets.J. Fuzzy Math. 6(1) (1998), 127–131. MR 1609883 |
| Reference:
|
[3] Beg I.: Fixed points of expansive mapping on fuzzy preordered sets.J. Fuzzy Math. 7(2) (1999), 746–749. MR 1697747 |
| Reference:
|
[4] Billot A.: Economic theory of fuzzy equilibria.Lecture Notes in Econom. and Math. Systems 373, Springer-Verlag, Berlin 1992. Zbl 0758.90008, MR 1227785 |
| Reference:
|
[5] Fang J. X.: On fixed point theorems in fuzzy metric spaces.Fuzzy Sets and Systems 46 (1992), 107–113. Zbl 0766.54045, MR 1153595 |
| Reference:
|
[6] Hadzic O.: Fixed point theorems for multivalued mapping in some classes of fuzzy metric spaces.Fuzzy Sets and Systems 29 (1989), 115–125. MR 0976292 |
| Reference:
|
[7] Heilpern S.: Fuzzy mapping and fixed point theorem.J. Math. Anal. Appl. 83 (1981), 566–569. MR 0641351 |
| Reference:
|
[8] Tarski A.: A lattice-theoretical fixpoint theorem and its applications.Pacific J. Math. 5 (1955), 285–309. Zbl 0064.26004, MR 0074376 |
| Reference:
|
[9] Zadeh L. A.: Fuzzy sets.Inform. and Control 8 (1965), 338–353. Zbl 0139.24606, MR 0219427 |
| . |
