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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this paper, the controllability of semilinear evolution inclusions with nonlocal conditions in Banach spaces is investigated when the multivalued map has nonconvex values. The approach used here is a fixed point theorem due to Covitz and Nadler for contraction multivalued maps.
Keywords:Controllability, fixed point, semilinear evolution inclusions.