Geodesic
Convergence of approximating fixed points sets for multivalued nonexpansive mappings
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 697-701
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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 $z$.
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 $z$.
Classification : 47H09, 47H10
Keywords: multivalued nonexpansive map; fixed points set; Mosco convergence 
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Pietramala, Paolamaria. Convergence of approximating fixed points sets for multivalued nonexpansive mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 697-701. http://geodesic.mathdoc.fr/item/CMUC_1991_32_4_a11/

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