Fixed points theorems of non-expanding fuzzy multifunctions
Archivum Mathematicum (2005)
- Volume: 041, Issue: 1, page 117-122
- ISSN: 0044-8753
Access Full Article
topAbstract
topHow to cite
topStouti, Abdelkader. "Fixed points theorems of non-expanding fuzzy multifunctions." Archivum Mathematicum 041.1 (2005): 117-122. <http://eudml.org/doc/249501>.
@article{Stouti2005,
abstract = {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.},
author = {Stouti, Abdelkader},
journal = {Archivum Mathematicum},
keywords = {fuzzy set; $\alpha $-fuzzy preorder relation; $\alpha $-fuzzy order relation; non-expanding fuzzy multifunction; fixed point; fuzzy set; -fuzzy preorder relation; -fuzzy order relation},
language = {eng},
number = {1},
pages = {117-122},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Fixed points theorems of non-expanding fuzzy multifunctions},
url = {http://eudml.org/doc/249501},
volume = {041},
year = {2005},
}
TY - JOUR
AU - Stouti, Abdelkader
TI - Fixed points theorems of non-expanding fuzzy multifunctions
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 1
SP - 117
EP - 122
AB - 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.
LA - eng
KW - fuzzy set; $\alpha $-fuzzy preorder relation; $\alpha $-fuzzy order relation; non-expanding fuzzy multifunction; fixed point; fuzzy set; -fuzzy preorder relation; -fuzzy order relation
UR - http://eudml.org/doc/249501
ER -
References
top- Beg I., Islam M., Fuzzy order linear spaces, J. Fuzzy Math. 3 (3) (1995), 659–670. (1995) MR1353830
- Beg I., Fixed points of fuzzy multivalued mappings with values in fuzzy ordered sets, J. Fuzzy Math. 6 (1) (1998), 127–131. (1998) Zbl0909.47055MR1609883
- Beg I., 0n fuzzy Zorn’s lemma, Fuzzy Sets and Systems 101 (1999), 181–183. (1999) MR1658920
- Beg I., Fixed points of expansive mappings on fuzzy preordered sets, J. Fuzzy Math., 7(2)(1999), 397-400. (1999) Zbl0941.54037MR1697747
- Beg I., Fixed points of fuzzy monotone maps, Arch. Math. (Brno) 35 (1999), 141–144. (1999) Zbl1047.03044MR1711740
- Bose B. K., Sahani D., Fuzzy mappings and fixed point theorems, Fuzzy Sets and Systems 21 (1987), 53–58. (1987) Zbl0609.54032MR0868355
- Billot A., Economic theory of fuzzy equilibria, Lecture Notes in Econom. and Math. Systems 373 Springer-Verlag, Berlin 1992. (1992) Zbl0758.90008MR1227785
- Fang J. X., On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 46 (1992), 107–113. (1992) Zbl0766.54045MR1153595
- Hadzic O., Fixed point theorems for multivalued mapping in some classes of fuzzy metric spaces, Fuzzy Sets and Systems 29 (1989), 115–125. (1989) MR0976292
- Heilpern S., Fuzzy mappings and fixed point theorems, J. Math. Anal. Appl. 83 (1981), 566–569. (1981) MR0641351
- Kaleva O., A note on fixed points for fuzzy mappings, Fuzzy Sets and Systems 15 (1985), 99–100. (1985) Zbl0564.47028MR0785284
- Negoita C. V., Ralescu D. A., Applications of fuzzy sets to systems analysis, Fuzzy Sets and Systems 1 (1978), 155–167. (1978)
- Stouti A., Fixed point theory for fuzzy monotone multifunctions, J. Fuzzy Math. 11 (2) (2003), 455–466. Zbl1053.54014MR1982177
- Stouti A., Fixed points of fuzzy monotone multifunctions, Arch. Math. (Brno) 39 (2003), 209–212. Zbl1108.03312MR2010722
- Stouti A., A fuzzy version of Tarski’s fixpoint Theorem, Arch. Math. (Brno) 40 (2004), 273–279. Zbl1108.06008MR2107022
- Stouti A., Fixed points of expanding fuzzy multifunctions, J. Fuzzy Math. 12(4) (2004), 1542–1546. Zbl1079.54022MR2125751
- Venugopalan P., Fuzzy ordered sets, Fuzzy Sets and Systems 46 (1992), 221–226. (1992) Zbl0765.06008MR1167316
- Zadeh L. A., Fuzzy sets, Information and Control 8 (1965), 338–353. (1965) Zbl0139.24606MR0219427
- Zadeh L. A., Similarity and fuzzy ordering, Information Sciences 3 (1971), 177–200. (1971) MR0297650
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.