Existence for nonconvex integral inclusions via fixed points


Aurelian Cernea

Faculty of Mathematics, University of Bucharest
Academiei 14, 010014 Bucharest, Romania

E-mail:   acernea@math.math.unibuc.ro

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.