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Title: Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
Authors: S. Dhompongsa
W. Fupinwong
A. Kaewkhao
Keywords: Mathematics
Issue Date: 15-Jun-2009
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.
ISSN: 0362546X
Appears in Collections:CMUL: Journal Articles

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