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|Title:||Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces|
|Abstract:||First, we consider a strongly continuous semigroup of nonexpansive mappings defined on a closed convex subset of a complete CAT(0) space and prove a convergence of a Mann iteration to a common fixed point of the mappings. This result is motivated by a result of Kirk (2002) and of Suzuki (2002). Second, we obtain a result on limits of subsequences of Mann iterations of multivalued nonexpansive mappings on metric spaces of hyperbolic type, which leads to a convergence theorem for nonexpansive mappings on these spaces. © 2009.|
|Appears in Collections:||CMUL: Journal Articles|
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