Existence for nonconvex integral inclusions via fixed points

Aurelian Cernea

E-mail:   acernea@math.math.unibuc.ro
 
 

Abstract.
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.
 

AMSclassification.  34A60

Keywords.   Integral inclusions, contractive set-valued maps, fixed point.