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Remarks on multivalued nonexpansive mappings. (English) Zbl 0826.47037

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 A. Canetti, G. Marino and P. Pietramala [Indian J. Math. 33, No. 3, 203-220 (1991; Zbl 0797.41022)].

MSC:

47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47H10 Fixed-point theorems
47H04 Set-valued operators

Citations:

Zbl 0797.41022
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