Full paper in PDF:
$%J. J. Nieto and R. Rodríguez-López, Applications of contractive-like mapping principles to fuzzy equations, Rev. Mat. Complut. 19 (2006), no. 2, 361383.%$

Applications of Contractive-like Mapping Principles to Fuzzy Equations
Juan J. NIETO and Rosana RODRíGUEZ-LÓPEZ
Departamento de Análisis Matemático
Facultad de Matemáticas
Universidad de Santiago de Compostela
15782 Santiago de Compostela Spain

Received: January 30, 2006
Accepted: March 31, 2006

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.

Key words: fixed points, fuzzy sets, fuzzy equations, fuzzy differential equations, upper and lower solutions, existence and uniqueness of solution.
2000 Mathematics Subject Classication:
primary 03E72, 26E50, 03G10; secondary 47H10, 34A12.