Geodesic
On some Class of Polytopes in an Idempotent, Symmetrical and Non-Associative Convex Structure
Journal of convex analysis, Tome 26 (2019) no. 3, pp. 823-853
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

B-convexity was defined by the author and C. D. Horvath [B-convexity, Optimization 53(2) (2004) 103--127] as a suitable Painlevé-Kuratowski limit of linear convexities. Recently, an alternative algebraic formulation over the whole Euclidean vector space was proposed by the author in further articles [Some remarks on an idempotent and non-associative convex structure, J. Convex Analysis 22 (2015) 259--289; and Separation properties in some idempotent and symmetrical convex structure, J. Convex Analysis 24 (2017) 1143--1168].
Classification : 06D50, 32F17
Mots-clés : Generalized mean, convexity, convex hull, duality, semilattice, B-convexity 
@article{JCA_2019_26_3_JCA_2019_26_3_a7,
     author = {W. Briec},
     title = {On some {Class} of {Polytopes} in an {Idempotent,} {Symmetrical} and {Non-Associative} {Convex} {Structure}},
     journal = {Journal of convex analysis},
     pages = {823--853},
     year = {2019},
     volume = {26},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2019_26_3_JCA_2019_26_3_a7/}
}
TY  - JOUR
AU  - W. Briec
TI  - On some Class of Polytopes in an Idempotent, Symmetrical and Non-Associative Convex Structure
JO  - Journal of convex analysis
PY  - 2019
SP  - 823
EP  - 853
VL  - 26
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JCA_2019_26_3_JCA_2019_26_3_a7/
ID  - JCA_2019_26_3_JCA_2019_26_3_a7
ER  - 
%0 Journal Article
%A W. Briec
%T On some Class of Polytopes in an Idempotent, Symmetrical and Non-Associative Convex Structure
%J Journal of convex analysis
%D 2019
%P 823-853
%V 26
%N 3
%U http://geodesic.mathdoc.fr/item/JCA_2019_26_3_JCA_2019_26_3_a7/
%F JCA_2019_26_3_JCA_2019_26_3_a7
W. Briec. On some Class of Polytopes in an Idempotent, Symmetrical and Non-Associative Convex Structure. Journal of convex analysis, Tome 26 (2019) no. 3, pp. 823-853. http://geodesic.mathdoc.fr/item/JCA_2019_26_3_JCA_2019_26_3_a7/