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 $z$.
@article{118449,
author = {Paolamaria Pietramala},
title = {Convergence of approximating fixed points sets for multivalued nonexpansive mappings},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {32},
year = {1991},
pages = {697-701},
zbl = {0756.47039},
mrnumber = {1159816},
language = {en},
url = {http://dml.mathdoc.fr/item/118449}
}
Pietramala, Paolamaria. Convergence of approximating fixed points sets for multivalued nonexpansive mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 697-701. http://gdmltest.u-ga.fr/item/118449/
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