## 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

Zbl 0797.41022