Applications of contractive-like mapping principles to fuzzy equations

  1. Nieto Roig, Juan José
  2. Rodríguez López, Rosana
Journal:
Revista matemática complutense

ISSN: 1139-1138 1988-2807

Year of publication: 2006

Volume: 19

Issue: 2

Pages: 361-383

Type: Article

DOI: 10.5209/REV_REMA.2006.V19.N2.16599 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Revista matemática complutense

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.