About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Stouti, Abdelkader
Fixed points of fuzzy monotone multifunctions. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 209-212
MSC: 03E72, 06A99, 47H10, 47S40, 54A40, 54C60, 54H25 | MR 2010722 | Zbl 1108.03312
Keywords:
fuzzy set; fuzzy order relation; monotone multifunction; fixed point
Summary:
Under suitable conditions we prove the existence of fixed points of fuzzy monotone multifunctions.
References:
[1] Beg I.: 0n fuzzy Zorn’s lemma. Fuzzy Sets and Systems 101 (1999), 181–183. MR 1658920
[2] Beg I.: Fixed points of fuzzy monotone maps. Arch. Math. (Brno) 35 (1999), 141–144. MR 1711740 | Zbl 1047.03044
[3] Beg I.: A general theorem on selector of fuzzy multifunctions. Jour. Fuzzy Math. 9(1) (2001). MR 1822318
[4] Billot A.: Economic theory of fuzzy equilibria. Lecture Notes in Economics and Mathematical Systems-373, Springer-Verlag, Berlin 1992. MR 1227785 | Zbl 0758.90008
[5] Fang J. X.: On fixed point theorems in fuzzy metric spaces. Fuzzy Sets and Systems 46 (1992), 107–113. MR 1153595 | Zbl 0766.54045
[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
[7] Heilpern S.: Fuzzy mapping and fixed point theorem. Jour. Math. Anal. Appl. 83 (1981), 566–569. MR 0641351
[8] Zadeh L. A.: Fuzzy sets. Information and Control 8 (1965), 338–353. MR 0219427 | Zbl 0139.24606
Partner of
EuDML logo