## Fixed points of multivalued nonexpansive maps.(English)Zbl 0667.47028

The authors prove two theorems on the existence of fixed points for non- expansive correspondences. Here ‘non-expansive’ is not the usual notion related to the Hausdorff metric but to other definitions more “single- valued” in nature. The theorems are closely allied to theorems for non- expansive mappings in that they require the ambient space to satisfy Opial’s condition [Z. Opial, Bull. Am. Math. Soc. 73, 591-597 (1967; Zbl 0179.199)].
Reviewer: A.C.Thompson

### MSC:

 47H10 Fixed-point theorems 54C60 Set-valued maps in general topology 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc.

Zbl 0179.199