Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces

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). Seco...

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Main Authors:	S. Dhompongsa, W. Fupinwong, A. Kaewkhao
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=63449115095&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59740
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-59740
record_format	dspace
spelling	th-cmuir.6653943832-597402018-09-10T03:20:44Z Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces S. Dhompongsa W. Fupinwong A. Kaewkhao Mathematics 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. 2018-09-10T03:20:44Z 2018-09-10T03:20:44Z 2009-06-15 Journal 0362546X 2-s2.0-63449115095 10.1016/j.na.2008.09.012 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=63449115095&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59740
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics S. Dhompongsa W. Fupinwong A. Kaewkhao Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
description	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.
format	Journal
author	S. Dhompongsa W. Fupinwong A. Kaewkhao
author_facet	S. Dhompongsa W. Fupinwong A. Kaewkhao
author_sort	S. Dhompongsa
title	Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
title_short	Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
title_full	Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
title_fullStr	Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
title_full_unstemmed	Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces
title_sort	common fixed points of a nonexpansive semigroup and a convergence theorem for mann iterations in geodesic metric spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=63449115095&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59740
_version_	1681425307308916736

Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces

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