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.6653943832-58702014-08-30T03:23:34Z Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces Dhompongsa S. Fupinwong W. Kaewkhao A. 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. 2014-08-30T03:23:34Z 2014-08-30T03:23:34Z 2009 Article 0362546X 10.1016/j.na.2008.09.012 NOAND http://www.scopus.com/inward/record.url?eid=2-s2.0-63449115095&partnerID=40&md5=997fcc47e96313d27beabd4b00e48059 http://cmuir.cmu.ac.th/handle/6653943832/5870 English |
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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 |
Article |
| author |
Dhompongsa S. Fupinwong W. Kaewkhao A. |
| spellingShingle |
Dhompongsa S. Fupinwong W. Kaewkhao A. Common fixed points of a nonexpansive semigroup and a convergence theorem for Mann iterations in geodesic metric spaces |
| author_facet |
Dhompongsa S. Fupinwong W. Kaewkhao A. |
| author_sort |
Dhompongsa S. |
| 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 |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-63449115095&partnerID=40&md5=997fcc47e96313d27beabd4b00e48059 http://cmuir.cmu.ac.th/handle/6653943832/5870 |
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1681420507140849664 |