  In this paper, by establishing a new characterization of the notion of upper
semi-continuity of multi-valued mappings in generalized Banach spaces, we prove
some Perov type fixed point theorems for multi-valued mappings with closed
graphs. Moreover, we derive some Krasnoselskii's fixe point results for
multi-valued mappings in generalized Banach spaces. Our results are applied to
a large class of nonlinear inclusions systems.
