Fixed points theorems of non-expanding fuzzy multifunctions
Archivum mathematicum, Tome 41 (2005) no. 1, pp. 117-122
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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.
Classification :
03E72, 06A99, 06D72, 47H04, 47H10, 54H25
Keywords: fuzzy set; $\alpha $-fuzzy preorder relation; $\alpha $-fuzzy order relation; non-expanding fuzzy multifunction; fixed point
Keywords: fuzzy set; $\alpha $-fuzzy preorder relation; $\alpha $-fuzzy order relation; non-expanding fuzzy multifunction; fixed point
@article{ARM_2005__41_1_a9,
author = {Stouti, Abdelkader},
title = {Fixed points theorems of non-expanding fuzzy multifunctions},
journal = {Archivum mathematicum},
pages = {117--122},
publisher = {mathdoc},
volume = {41},
number = {1},
year = {2005},
mrnumber = {2142147},
zbl = {1108.03053},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2005__41_1_a9/}
}
Stouti, Abdelkader. Fixed points theorems of non-expanding fuzzy multifunctions. Archivum mathematicum, Tome 41 (2005) no. 1, pp. 117-122. http://geodesic.mathdoc.fr/item/ARM_2005__41_1_a9/