We recall a recent extension of the classical Banach fixed point theorem to partially ordered sets and justify its applicability to the study of the existence and uniqueness of solution for fuzzy and fuzzy differential equations. To this purpose, we analyze the validity of some properties relative to sequences of fuzzy sets and fuzzy functions.
@article{urn:eudml:doc:41907,
title = {Applications of contractive-like mapping principles to fuzzy equations},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {19},
year = {2006},
pages = {361-383},
zbl = {1113.26030},
mrnumber = {MR2241436},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41907}
}
Nieto, Juan J.; Rodríguez López, Rosana. Applications of contractive-like mapping principles to fuzzy equations. Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006) pp. 361-383. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41907/