Geodesic
Support properties of a family of connected compact sets
Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 67-79

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A problem of finding a system of proportionally located parallel supporting hyperplanes of a family of connected compact sets is analyzed. A special attention is paid to finding a common supporting halfspace. An existence theorem is proved and a method of solution is proposed.
DOI : 10.21136/MB.2001.133924
Classification : 15A03, 15A39, 52B55, 52C35, 90C34
Keywords: set family; supporting hyperplane; lexicographic optimization; polyhedral approximation. 
@article{10_21136_MB_2001_133924,
     author = {Nedoma, Josef},
     title = {Support properties of a family of connected compact sets},
     journal = {Mathematica Bohemica},
     pages = {67--79},
     publisher = {mathdoc},
     volume = {126},
     number = {1},
     year = {2001},
     doi = {10.21136/MB.2001.133924},
     mrnumber = {1826472},
     zbl = {0982.15003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133924/}
}
TY  - JOUR
AU  - Nedoma, Josef
TI  - Support properties of a family of connected compact sets
JO  - Mathematica Bohemica
PY  - 2001
SP  - 67
EP  - 79
VL  - 126
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133924/
DO  - 10.21136/MB.2001.133924
LA  - en
ID  - 10_21136_MB_2001_133924
ER  - 
%0 Journal Article
%A Nedoma, Josef
%T Support properties of a family of connected compact sets
%J Mathematica Bohemica
%D 2001
%P 67-79
%V 126
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2001.133924/
%R 10.21136/MB.2001.133924
%G en
%F 10_21136_MB_2001_133924
Nedoma, Josef. Support properties of a family of connected compact sets. Mathematica Bohemica, Tome 126 (2001) no. 1, pp. 67-79. doi: 10.21136/MB.2001.133924

Cité par Sources :