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Existence of extremal solutions for quadratic fuzzy equations

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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.

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Correspondence to Juan J Nieto.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Nieto, J.J., Rodríguez-López, R. Existence of extremal solutions for quadratic fuzzy equations. Fixed Point Theory Appl 2005, 535919 (2005). https://doi.org/10.1155/FPTA.2005.321

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  • DOI: https://doi.org/10.1155/FPTA.2005.321