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Zbl 0826.47037
López Acedo, Genaro; Xu, Hong-Kun
(Acedo, Genaro López)
Remarks on multivalued nonexpansive mappings. (English)
[J] Soochow J. Math. 21, No.1, 107-115 (1995). ISSN 0250-3255

The authors study the Mosco- and Hausdorff-convergence of fixed point sets of nonexpansive multifunctions. As a by-product, they give a counterexample which gives a negative answer to a question raised by {\it A. Canetti}, {\it G. Marino} and {\it P. Pietramala} [Indian J. Math. 33, No. 3, 203-220 (1991; Zbl 0797.41022)].
[J.Appell (Würzburg)]

MSC 2000:: *47H09 Mappings defined by "shrinking" properties
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H04 Set-valued operators

Keywords: Mosco- and Hausdorff-convergence of fixed point sets of nonexpansive multifunctions

Citations: Zbl 0797.41022

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