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The existence of α‐dense curves with minimal length in a metric space

A. Ziadi (Université Pierre et Marie Curie, Medimat, Paris, France)
Y. Cherruault (Université Pierre et Marie Curie, Medimat, Paris, France)
G. Mora (Department of Mathematical Analysis and Applied Mathematics, University of Alicante, Alicante, Spain)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 March 2000

Abstract

Some results concerning the existence of α‐dense curves with minimal length are given. This type of curves used in the reducing transformation called Alienor was invented by Cherruault and Guillez. They have been applied to global optimization in the following way: a multivariable optimization problem is transformed in an optimization problem depending on a single variable. Then this idea was extended by Cherruault and his team for obtaining general classes of reducing transformations having minimal properties (length of the α‐dense curves, minimization of the calculus time, etc.).

Keywords

Citation

Ziadi, A., Cherruault, Y. and Mora, G. (2000), "The existence of α‐dense curves with minimal length in a metric space", Kybernetes, Vol. 29 No. 2, pp. 219-230. https://doi.org/10.1108/03684920010312803

Publisher

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MCB UP Ltd

Copyright © 2000, MCB UP Limited