We consider a nonconvex integral inclusion and we prove a Filippov type existence theorem by using an appropiate norm on the space of selections of the multifunction and a contraction principle for set-valued maps.
@article{107877,
author = {Aurelian Cernea},
title = {Existence for nonconvex integral inclusions via fixed points},
journal = {Archivum Mathematicum},
volume = {039},
year = {2003},
pages = {293-298},
zbl = {1113.45014},
mrnumber = {2032102},
language = {en},
url = {http://dml.mathdoc.fr/item/107877}
}
Cernea, Aurelian. Existence for nonconvex integral inclusions via fixed points. Archivum Mathematicum, Tome 039 (2003) pp. 293-298. http://gdmltest.u-ga.fr/item/107877/
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