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Zbl 0667.47028
Husain, Taqdir; Latif, Abdul
Fixed points of multivalued nonexpansive maps. (English)
[J] Math. Jap. 33, No.3, 385-391 (1988). ISSN 0025-5513

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 [{\it Z. Opial}, Bull. Am. Math. Soc. 73, 591-597 (1967; Zbl 0179.199)].
[A.C.Thompson]

MSC 2000:: *47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
54C60 Set-valued maps
47H09 Mappings defined by "shrinking" properties

Keywords: existence of fixed points for non-expansive correspondences; Opial's condition

Citations: Zbl 0179.199

Cited in: Zbl 0733.54010

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