Fixed points theorems of non-expanding fuzzy multifunctions

Abdelkader Stouti

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 1, page 117-122
  • ISSN: 0044-8753

Abstract

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We prove the existence of a fixed point of non-expanding fuzzy multifunctions in α -fuzzy preordered sets. Furthermore, we establish the existence of least and minimal fixed points of non-expanding fuzzy multifunctions in α -fuzzy ordered sets.

How to cite

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Stouti, 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

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