Geodesic
Fixed points and properties of solutions of differential inclusions
Izvestiya. Mathematics , Tome 23 (1984) no. 1, pp. 185-199

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Theorems are proved on arcwise connectivity and strong arcwise connectivity of the set of fixed points of a multivalued mapping. The results are used to prove that the family of solutions of a differential inclusion with nonconvex right-hand side is arcwise connected. The Hukuhara property and the boundary property of a time-optimal solution is established for this differential inclusion. Bibliography: 9 titles. 
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     author = {A. V. Bogatyrev},
     title = {Fixed points and properties of solutions of differential inclusions},
     journal = {Izvestiya. Mathematics },
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A. V. Bogatyrev. Fixed points and properties of solutions of differential inclusions. Izvestiya. Mathematics , Tome 23 (1984) no. 1, pp. 185-199. http://geodesic.mathdoc.fr/item/IM2_1984_23_1_a5/