Title:
|
Fixed points of fuzzy monotone multifunctions (English) |
Author:
|
Stouti, Abdelkader |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
39 |
Issue:
|
3 |
Year:
|
2003 |
Pages:
|
209-212 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
Under suitable conditions we prove the existence of fixed points of fuzzy monotone multifunctions. (English) |
Keyword:
|
fuzzy set |
Keyword:
|
fuzzy order relation |
Keyword:
|
monotone multifunction |
Keyword:
|
fixed point |
MSC:
|
03E72 |
MSC:
|
06A99 |
MSC:
|
47H10 |
MSC:
|
47S40 |
MSC:
|
54A40 |
MSC:
|
54C60 |
MSC:
|
54H25 |
idZBL:
|
Zbl 1108.03312 |
idMR:
|
MR2010722 |
. |
Date available:
|
2008-06-06T22:41:53Z |
Last updated:
|
2012-05-10 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107868 |
. |
Reference:
|
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Reference:
|
[2] Beg I.: Fixed points of fuzzy monotone maps.Arch. Math. (Brno) 35 (1999), 141–144. Zbl 1047.03044, MR 1711740 |
Reference:
|
[3] Beg I.: A general theorem on selector of fuzzy multifunctions.Jour. Fuzzy Math. 9(1) (2001). MR 1822318 |
Reference:
|
[4] Billot A.: Economic theory of fuzzy equilibria.Lecture Notes in Economics and Mathematical 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.Jour. Math. Anal. Appl. 83 (1981), 566–569. MR 0641351 |
Reference:
|
[8] Zadeh L. A.: Fuzzy sets.Information and Control 8 (1965), 338–353. Zbl 0139.24606, MR 0219427 |
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