TY  - JOUR
AB  - 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.).
VL  - 29
IS  - 2
SN  - 0368-492X
DO  - 10.1108/03684920010312803
UR  - https://doi.org/10.1108/03684920010312803
AU  - Ziadi A.
AU  - Cherruault Y.
AU  - Mora G.
PY  - 2000
Y1  - 2000/01/01
TI  - The existence of α‐dense curves with minimal length in a metric space
T2  - Kybernetes
PB  - MCB UP Ltd
SP  - 219
EP  - 230
Y2  - 2024/04/19
ER  -