Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
type: Item
instance of: scholarly article
title: Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
zbMATH Open document ID: 1191.47077
author: W. Fupinwong
author: S. Dhompongsa
author: Attapol Kaewkhao
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-05-07T00:00:00Z
review text: The authors prove a convergence theorem for the sequence of Mann iterations, for a strongly continuous semigroup of nonexpansive mappings acting on a closed convex subset of a complete CAT(0) space, to a common fixed point of all mappings in the semigroup. They also prove a result concerning the limits of subsequences of Mann iterations of multivalued nonexpansive mappings on metric spaces of hyperbolic type.
reviewed by: Ioan I. Vrabie
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 5551970
zbMATH Keywords: geodesic metric space
zbMATH Keywords: nonexpansive semigroup
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: j.na.2008.09.012
OpenAlex ID: W2050683416
cites work: Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
cites work: Iteration processes for nonexpansive mappings
cites work: Q3998720
cites work: Fixed points of nonexpanding maps
cites work: Krasnoselskii's iteration process in hyperbolic space
cites work: Q4462019
cites work: Best Approximation in ℝ-Trees
cites work: A class of spaces with weak normal structure
cites work: On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
cites work: A convexity in metric space and nonexpansive mappings. I.
DOI: 10.1016/J.NA.2008.09.012
description: scientific article; zbMATH DE number 5551970