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Article

Cernea, Aurelian
Existence for nonconvex integral inclusions via fixed points. (English). Archivum Mathematicum, vol. 39 (2003), issue 4, pp. 293-298
MSC: 34A60, 45G10, 45N05, 47N20 | MR 2032102 | Zbl 1113.45014
Keywords:
integral inclusions; contractive set-valued maps; fixed point
Summary:
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.
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