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Open Access

Existence of extremal solutions for quadratic fuzzy equations

Fixed Point Theory and Applications20052005:535919

Received: 8 November 2004

Published: 25 October 2005


Some results on the existence of solution for certain fuzzy equations are revised and extended. In this paper, we establish the existence of a solution for the fuzzy equation , where , , , and are positive fuzzy numbers satisfying certain conditions. To this purpose, we use fixed point theory, applying results such as the well-known fixed point theorem of Tarski, presenting some results regarding the existence of extremal solutions to the above equation.

Authors’ Affiliations

Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, Spain


© Nieto and Rodríguez-López 2005