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Zbl 1175.47049
Shahzad, Naseer
Fixed point results for multimaps in CAT(0) spaces. (English)
[J] Topology Appl. 156, No. 5, 997-1001 (2009). ISSN 0166-8641

Author's abstract: Common fixed point results for families of single-valued nonexpansive or quasi-nonexpansive mappings and multivalued upper semicontinuous, almost lower semicontinuous or nonexpansive mappings are proved either in CAT(0) spaces or $\Bbb R$-trees. It is also shown that the fixed point set of quasi-nonexpansive self-mapping of a nonempty closed convex subset of a CAT(0) space is always nonempty closed and convex.
[Satit Saejung (Khon Kaen)]

MSC 2000:: *47H09 Mappings defined by "shrinking" properties
54H25 Fixed-point theorems in topological spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces

Keywords: upper semicontinuous; almost lower semicontinuous; nonexpansive mapping; CAT(0) spaces; $\Bbb R$-tree; fixed point

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