Fixed points of fuzzy monotone maps

Ismat Beg

Archivum Mathematicum (1999)

  • Volume: 035, Issue: 2, page 141-144
  • ISSN: 0044-8753

Abstract

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The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.

How to cite

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Beg, Ismat. "Fixed points of fuzzy monotone maps." Archivum Mathematicum 035.2 (1999): 141-144. <http://eudml.org/doc/248372>.

@article{Beg1999,
abstract = {The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.},
author = {Beg, Ismat},
journal = {Archivum Mathematicum},
keywords = {fuzzy set; fuzzy order relation; monotone maps; fixed point; fuzzy order; fuzzy chain; fuzzy Zorn's lemma; fuzzy monotone mapping; fuzzy order-continuous mapping; fixed points of fuzzy mappings},
language = {eng},
number = {2},
pages = {141-144},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Fixed points of fuzzy monotone maps},
url = {http://eudml.org/doc/248372},
volume = {035},
year = {1999},
}

TY - JOUR
AU - Beg, Ismat
TI - Fixed points of fuzzy monotone maps
JO - Archivum Mathematicum
PY - 1999
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 035
IS - 2
SP - 141
EP - 144
AB - The existence of fixed points for monotone maps on the fuzzy ordered sets under suitable conditions is proved.
LA - eng
KW - fuzzy set; fuzzy order relation; monotone maps; fixed point; fuzzy order; fuzzy chain; fuzzy Zorn's lemma; fuzzy monotone mapping; fuzzy order-continuous mapping; fixed points of fuzzy mappings
UR - http://eudml.org/doc/248372
ER -

References

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  7. Fuzzy mappings and fixed point theorem, Jour. Math. Anal. Appl. 83(1981), 566-569. Zbl0486.54006MR0641351
  8. Minimization theorems for fixed point theorem in fuzzy metric spaces and applications, Fuzzy Sets and Systems 61(1994), 119-207. 
  9. Fuzzy Sets and Fuzzy Decision Making, CRC Press, New York 1995. MR1356718
  10. Fuzzy ordered sets, Fuzzy Sets and Systems 46(1992), 221-226. Zbl0765.06008MR1167316
  11. Fuzzy sets, Information & Control 8(1965), 338-353. Zbl0942.00007MR0219427
  12. Similarity relations and fuzzy orderings, Info. Sci. 3(1971), 177-200. Zbl0218.02058MR0297650
  13. Fuzzy Set Theory and its Applications, Kluwer Academic Pub. - Dordrecht 1991. Zbl0984.03042

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