Abstract:Let $K$ be a closed convex subset of a Hilbert space $H$ and $T:K \multimap K$ a nonexpansive multivalued map with a unique fixed point $z$ such that $\{z\}=T(z)$. It is shown that we can construct a sequence of approximating fixed points sets converging in the sense of Mosco to $z$.
Keywords: multivalued nonexpansive map, fixed points set, Mosco convergence
AMS Subject Classification: 47H09, 47H10