Geodesic
Existence for nonconvex integral inclusions via fixed points
Archivum mathematicum, Tome 39 (2003) no. 4, pp. 293-298.

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

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.
Classification : 34A60, 45G10, 45N05, 47N20
Keywords: integral inclusions; contractive set-valued maps; fixed point 
@article{ARM_2003__39_4_a4,
     author = {Cernea, Aurelian},
     title = {Existence for nonconvex integral inclusions via fixed points},
     journal = {Archivum mathematicum},
     pages = {293--298},
     publisher = {mathdoc},
     volume = {39},
     number = {4},
     year = {2003},
     mrnumber = {2032102},
     zbl = {1113.45014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a4/}
}
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Cernea, Aurelian. Existence for nonconvex integral inclusions via fixed points. Archivum mathematicum, Tome 39 (2003) no. 4, pp. 293-298. http://geodesic.mathdoc.fr/item/ARM_2003__39_4_a4/