A selection theorem of Helly type and its applications
Studia Mathematica, Tome 116 (1995) no. 1, pp. 43-48

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove an abstract selection theorem for set-valued mappings with compact convex values in a normed space. Some special cases of this result as well as its applications to separation theory and Hyers-Ulam stability of affine functions are also given.
DOI : 10.4064/sm-116-1-43-48

Ehrhard Behrends 1

1
@article{10_4064_sm_116_1_43_48,
     author = {Ehrhard Behrends},
     title = {A selection theorem of {Helly} type and its applications},
     journal = {Studia Mathematica},
     pages = {43--48},
     publisher = {mathdoc},
     volume = {116},
     number = {1},
     year = {1995},
     doi = {10.4064/sm-116-1-43-48},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-116-1-43-48/}
}
TY  - JOUR
AU  - Ehrhard Behrends
TI  - A selection theorem of Helly type and its applications
JO  - Studia Mathematica
PY  - 1995
SP  - 43
EP  - 48
VL  - 116
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-116-1-43-48/
DO  - 10.4064/sm-116-1-43-48
LA  - en
ID  - 10_4064_sm_116_1_43_48
ER  - 
%0 Journal Article
%A Ehrhard Behrends
%T A selection theorem of Helly type and its applications
%J Studia Mathematica
%D 1995
%P 43-48
%V 116
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-116-1-43-48/
%R 10.4064/sm-116-1-43-48
%G en
%F 10_4064_sm_116_1_43_48
Ehrhard Behrends. A selection theorem of Helly type and its applications. Studia Mathematica, Tome 116 (1995) no. 1, pp. 43-48. doi: 10.4064/sm-116-1-43-48

Cité par Sources :