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.
@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 -
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
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