Applications of Contractive-like Mapping Principles to Fuzzy Equations

  • Juan J. Nieto
  • Rosana Rodríguez López
DOI: https://doi.org/10.5209/rev_REMA.2006.v19.n2.16599
Keywords: fixed p oints, fuzzy sets, fuzzy equations, fuzzy differential equations, upp er and lower solutions, existence and uniqueness of solution

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.

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Published
2006-07-13
How to Cite
Nieto J. J. . y Rodríguez López R. . (2006). Applications of Contractive-like Mapping Principles to Fuzzy Equations. Revista Matemática Complutense, 19(2), 361-383. https://doi.org/10.5209/rev_REMA.2006.v19.n2.16599
Issue
Vol. 19 No. 2 (2006)
Section
Articles

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