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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th-cmuir.6653943832-492462018-08-16T02:13:05Z 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. 2018-08-16T02:13:05Z 2018-08-16T02:13:05Z 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/6653943832/49246 |
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Mathematics |
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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/6653943832/49246 |
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