Applications of contractive-like mapping principles to fuzzy equations

@article{Nieto2006,
abstract = {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.},
author = {Nieto, Juan J., Rodríguez López, Rosana},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones difusas; Aplicación contractiva; Teorema de punto fijo; fixed points; fuzzy sets; fuzzy equations; fuzzy differential equations; upper solutions; lower solutions; existence; uniqueness},
language = {eng},
number = {2},
pages = {361-383},
title = {Applications of contractive-like mapping principles to fuzzy equations},
url = {http://eudml.org/doc/41907},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Nieto, Juan J.
AU - Rodríguez López, Rosana
TI - Applications of contractive-like mapping principles to fuzzy equations
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 2
SP - 361
EP - 383
AB - 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.
LA - eng
KW - Ecuaciones difusas; Aplicación contractiva; Teorema de punto fijo; fixed points; fuzzy sets; fuzzy equations; fuzzy differential equations; upper solutions; lower solutions; existence; uniqueness
UR - http://eudml.org/doc/41907
ER -