Geodesic
Asymptotic Planes and Closedness Conditions for Linear Images and Vector Sums of Sets
Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1183-1196
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We obtain new closedness conditions for linear images and vector sums of sets in finite-dimensional vector spaces and illustrate their relations with the existing results on the subject. These new conditions use the concept of asymptotic plane and are applicable to the case of arbitrary (not only convex) sets.
Classification : 52A20, 49M45, 90C25
Mots-clés : Asymptotic cone, asymptotic plane, closedness condition, lineality space, linear image, recession cone, vector sum 
@article{JCA_2018_25_4_JCA_2018_25_4_a6,
     author = {V. Soltan},
     title = {Asymptotic {Planes} and {Closedness} {Conditions} for {Linear} {Images} and {Vector} {Sums} of {Sets}},
     journal = {Journal of convex analysis},
     pages = {1183--1196},
     year = {2018},
     volume = {25},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a6/}
}
TY  - JOUR
AU  - V. Soltan
TI  - Asymptotic Planes and Closedness Conditions for Linear Images and Vector Sums of Sets
JO  - Journal of convex analysis
PY  - 2018
SP  - 1183
EP  - 1196
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a6/
ID  - JCA_2018_25_4_JCA_2018_25_4_a6
ER  - 
%0 Journal Article
%A V. Soltan
%T Asymptotic Planes and Closedness Conditions for Linear Images and Vector Sums of Sets
%J Journal of convex analysis
%D 2018
%P 1183-1196
%V 25
%N 4
%U http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a6/
%F JCA_2018_25_4_JCA_2018_25_4_a6
V. Soltan. Asymptotic Planes and Closedness Conditions for Linear Images and Vector Sums of Sets. Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1183-1196. http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a6/