Remarks on multivalued nonexpansive mappings. (English) Zbl 0826.47037

López Acedo, Genaro; Xu, Hong-Kun

Soochow J. Math. 21, No. 1, 107-115 (1995).

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)].

Reviewer: J.Appell (Würzburg)

MSC:

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

Keywords:

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

Citations:

Zbl 0797.41022