no. 4
Meilleure approximation en norme vectorielle et théorie de la localisation
ESAIM: Modélisation mathématique et analyse numérique, Tome 21 (1987) no. 4, pp. 605-626 
@article{M2AN_1987__21_4_605_0,
     author = {Durier, Roland},
     title = {Meilleure approximation en norme vectorielle et th\'eorie de la localisation},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {605--626},
     year = {1987},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {21},
     number = {4},
     mrnumber = {921829},
     zbl = {0649.41019},
     language = {fr},
     url = {https://www.numdam.org/item/M2AN_1987__21_4_605_0/}
}
TY  - JOUR
AU  - Durier, Roland
TI  - Meilleure approximation en norme vectorielle et théorie de la localisation
JO  - ESAIM: Modélisation mathématique et analyse numérique
PY  - 1987
SP  - 605
EP  - 626
VL  - 21
IS  - 4
PB  - AFCET - Gauthier-Villars
PP  - Paris
UR  - https://www.numdam.org/item/M2AN_1987__21_4_605_0/
LA  - fr
ID  - M2AN_1987__21_4_605_0
ER  - 
%0 Journal Article
%A Durier, Roland
%T Meilleure approximation en norme vectorielle et théorie de la localisation
%J ESAIM: Modélisation mathématique et analyse numérique
%D 1987
%P 605-626
%V 21
%N 4
%I AFCET - Gauthier-Villars
%C Paris
%U https://www.numdam.org/item/M2AN_1987__21_4_605_0/
%G fr
%F M2AN_1987__21_4_605_0
Durier, Roland. Meilleure approximation en norme vectorielle et théorie de la localisation. ESAIM: Modélisation mathématique et analyse numérique, Tome 21 (1987) no. 4, pp. 605-626. https://www.numdam.org/item/M2AN_1987__21_4_605_0/

[1] J. P. Aubin, L'analyse non linéaire et ses motivations économiques, Masson (1984). | Zbl | MR

[2] G. R. Bitran, L. Magnanti, The structure of admissible points with respect to cone dominance, Journal Optimization Theory and Applications, 29 (1979) 573-614. | Zbl | MR

[3] L. G. Chalmet, R. L. Francis and A. Kolen, Finding efficient solutions for rectilinear distance location problem efficiently, European Journal of Operational Research, 6 (1986), 117-124. | Zbl | MR

[4] R. Durier, On efficient points and Fermat-Weber problem, Working Paper, University of Dijon (1984).

[5] R. Durier, Weighting factor results in vector optimization, Working Paper, University of Dijon (1985). | Zbl

[6] R. Durier, C. Michelot, Geometrical properties of the Fermat-Weber problem, European Journal of Operational Research, 20 (1985), 332-343. | Zbl | MR

[7] R. Durier, C. Michelot, Sets of efficient points in a normed space, Journal of Mathematical Analysis and Applications, à paraître. | Zbl

[8] A. M. Geoffrion, Proper efficiency and the theory of vector maximization, Journal of Mathematical Analysis and Applications, 22 (1968), 618-630. | Zbl | MR

[9] P. Hansen, J. Perreur, J. F. Thisse, Location theory, dominance and convexity : some further results, Operations Research, 28 (1980), 1241-1250. | Zbl

[10] D. T. Luc, Structure of the efficient point set, Proceedings of the American Mathematical Society, 95 (1985), 433-440. | Zbl | MR

[11] H. Moulin, F. Fogelman-Soulie, La convexité dans les mathématiques de la décision, Hermann (1979).

[12] P. H. Naccache, Connectedness of the set of nondominated outcomes in multicriteria optimization, Journal of Optimization Theory and Applications, 25 (1978), 459-467. | Zbl | MR

[13] F. Robert, Étude et utilisation de normes vectoriellesen analyse numérique linéaire, Thèse de Doctorat ès Sciences, Grenoble (1968).

[14] F. Robert, Meilleure approximation en norme vectorielle et minima de Pareto, Modélisation Mathématique et Analyse Numérique, 19 (1985), 89-110. | Zbl | MR | Numdam

[15] R. T. Rockafellar, Convex Analysis, Princeton University Press (1970). | Zbl | MR

[16] J. F. Thisse, J. E. Ward, R. E. Wendell, Some properties of location problems with block and round norms, Opérations Research, 32 (1984), 1309-1327. | Zbl | MR

[17] J. E. Ward, R. E. Wendell, Characterizing efficient points in location problem under the one-infinity norm, Locational analysis of public facilities, ed. J. F. Thisse et H. G. Zoller, North Holland, Studies in mathematical and managed economies, 31, (1983), 413-429.

[18] R. E. Wendell, A. P. Hurter, Location theory, dominance and convexity,Operations research, 21 (1973), 314-321. | Zbl | MR

[19] R. E. Wendell, A. P. Hurter, T. J. Lowe, Efficient points in location problems, AIEE Transactions, 9 (1973), 238-246. | MR

[20] R. Wernsdorff, On the connectedness of the set of efficient points in convex optimization problems with multiple or random objectives, Mathematische Operationsforschung und Statistik, ser. Optimization, 15 (1984), 379-387. | Zbl | MR

[21] D. J. White, Optimality and efficiency, John Wiley and Sons (1982). | Zbl | MR