A fuzzy version of Tarski's fixpoint theorem

Abdelkader Stouti

Archivum Mathematicum (2004)

  • Volume: 040, Issue: 3, page 273-279
  • ISSN: 0044-8753

Abstract

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A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given.

How to cite

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Stouti, Abdelkader. "A fuzzy version of Tarski's fixpoint theorem." Archivum Mathematicum 040.3 (2004): 273-279. <http://eudml.org/doc/249320>.

@article{Stouti2004,
abstract = {A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given.},
author = {Stouti, Abdelkader},
journal = {Archivum Mathematicum},
keywords = {fuzzy set; fuzzy order relation; complete lattices; monotone map; fixed point; fuzzy set; fuzzy order relation; complete lattices},
language = {eng},
number = {3},
pages = {273-279},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A fuzzy version of Tarski's fixpoint theorem},
url = {http://eudml.org/doc/249320},
volume = {040},
year = {2004},
}

TY - JOUR
AU - Stouti, Abdelkader
TI - A fuzzy version of Tarski's fixpoint theorem
JO - Archivum Mathematicum
PY - 2004
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 040
IS - 3
SP - 273
EP - 279
AB - A fuzzy version of Tarski’s fixpoint Theorem for fuzzy monotone maps on nonempty fuzzy compete lattice is given.
LA - eng
KW - fuzzy set; fuzzy order relation; complete lattices; monotone map; fixed point; fuzzy set; fuzzy order relation; complete lattices
UR - http://eudml.org/doc/249320
ER -

References

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  1. Beg I., Fixed points of fuzzy monotone maps, Arch. Math. (Brno) 35 (1999), 141–144. (1999) Zbl1047.03044MR1711740
  2. Beg I., Fixed points of fuzzy multivalued mappings with values in fuzzy orders sets, J. Fuzzy Math. 6(1) (1998), 127–131. (1998) MR1609883
  3. Beg I., Fixed points of expansive mapping on fuzzy preordered sets, J. Fuzzy Math. 7(2) (1999), 746–749. (1999) MR1697747
  4. Billot A., Economic theory of fuzzy equilibria, Lecture Notes in Econom. and Math. Systems 373, Springer-Verlag, Berlin 1992. (1992) Zbl0758.90008MR1227785
  5. Fang J. X., On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 46 (1992), 107–113. (1992) Zbl0766.54045MR1153595
  6. 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
  7. Heilpern S., Fuzzy mapping and fixed point theorem, J. Math. Anal. Appl. 83 (1981), 566–569. (1981) MR0641351
  8. Tarski A., A lattice-theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955), 285–309. (1955) Zbl0064.26004MR0074376
  9. Zadeh L. A., Fuzzy sets, Inform. and Control 8 (1965), 338–353. (1965) Zbl0139.24606MR0219427

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