Controllability of Urysohn integral inclusions of Volterra type.
Let be a closed convex subset of a Hilbert space and a nonexpansive multivalued map with a unique fixed point such that . It is shown that we can construct a sequence of approximating fixed points sets converging in the sense of Mosco to .
Existence of fixed points of multivalued mappings that satisfy a certain contractive condition was proved by N. Mizoguchi and W. Takahashi. An alternative proof of this theorem was given by Peter Z. Daffer and H. Kaneko. In the present paper, we give a simple proof of that theorem. Also, we define Mann and Ishikawa iterates for a multivalued map with a fixed point and prove that these iterates converge to a fixed point of under certain conditions. This fixed point may be different from...