We prove the existence of a fixed point of non-expanding fuzzy multifunctions in $\alpha $-fuzzy preordered sets. Furthermore, we establish the existence of least and minimal fixed points of non-expanding fuzzy multifunctions in $\alpha $-fuzzy ordered sets.
@article{107939, author = {Abdelkader Stouti}, title = {Fixed points theorems of non-expanding fuzzy multifunctions}, journal = {Archivum Mathematicum}, volume = {041}, year = {2005}, pages = {117-122}, zbl = {1108.03053}, mrnumber = {2142147}, language = {en}, url = {http://dml.mathdoc.fr/item/107939} }
Stouti, Abdelkader. Fixed points theorems of non-expanding fuzzy multifunctions. Archivum Mathematicum, Tome 041 (2005) pp. 117-122. http://gdmltest.u-ga.fr/item/107939/
Fuzzy order linear spaces, J. Fuzzy Math. 3 (3) (1995), 659–670. (1995) | MR 1353830
Fixed points of fuzzy multivalued mappings with values in fuzzy ordered sets, J. Fuzzy Math. 6 (1) (1998), 127–131. (1998) | MR 1609883 | Zbl 0909.47055
0n fuzzy Zorn’s lemma, Fuzzy Sets and Systems 101 (1999), 181–183. (1999) | MR 1658920
Fixed points of expansive mappings on fuzzy preordered sets, J. Fuzzy Math., 7(2)(1999), 397-400. (1999) | MR 1697747 | Zbl 0941.54037
Fixed points of fuzzy monotone maps, Arch. Math. (Brno) 35 (1999), 141–144. (1999) | MR 1711740 | Zbl 1047.03044
Fuzzy mappings and fixed point theorems, Fuzzy Sets and Systems 21 (1987), 53–58. (1987) | MR 0868355 | Zbl 0609.54032
Economic theory of fuzzy equilibria, Lecture Notes in Econom. and Math. Systems 373 Springer-Verlag, Berlin 1992. (1992) | MR 1227785 | Zbl 0758.90008
On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 46 (1992), 107–113. (1992) | MR 1153595 | Zbl 0766.54045
Fixed point theorems for multivalued mapping in some classes of fuzzy metric spaces, Fuzzy Sets and Systems 29 (1989), 115–125. (1989) | MR 0976292
Fuzzy mappings and fixed point theorems, J. Math. Anal. Appl. 83 (1981), 566–569. (1981) | MR 0641351
A note on fixed points for fuzzy mappings, Fuzzy Sets and Systems 15 (1985), 99–100. (1985) | MR 0785284 | Zbl 0564.47028
Applications of fuzzy sets to systems analysis, Fuzzy Sets and Systems 1 (1978), 155–167. (1978)
Fixed point theory for fuzzy monotone multifunctions, J. Fuzzy Math. 11 (2) (2003), 455–466. | MR 1982177 | Zbl 1053.54014
Fixed points of fuzzy monotone multifunctions, Arch. Math. (Brno) 39 (2003), 209–212. | MR 2010722 | Zbl 1108.03312
A fuzzy version of Tarski’s fixpoint Theorem, Arch. Math. (Brno) 40 (2004), 273–279. | MR 2107022 | Zbl 1108.06008
Fixed points of expanding fuzzy multifunctions, J. Fuzzy Math. 12(4) (2004), 1542–1546. | MR 2125751 | Zbl 1079.54022
Fuzzy ordered sets, Fuzzy Sets and Systems 46 (1992), 221–226. (1992) | MR 1167316 | Zbl 0765.06008
Fuzzy sets, Information and Control 8 (1965), 338–353. (1965) | MR 0219427 | Zbl 0139.24606
Similarity and fuzzy ordering, Information Sciences 3 (1971), 177–200. (1971) | MR 0297650