An approximation of a common fixed point of nonexpansive mappings on convex metric spaces
Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping...
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th-cmuir.6653943832-426822017-09-28T06:34:37Z An approximation of a common fixed point of nonexpansive mappings on convex metric spaces Anakkamatee W. Dhompongsa S. Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping to a countable number of mappings and, at the same time, we extend the underlying spaces to strictly convex Banach spaces. The corresponding results are also obtained for the CAT(0) space setting. © 2012 Anakkamatee and Dhompongsa; licensee Springer. 2017-09-28T06:34:37Z 2017-09-28T06:34:37Z 2012-12-01 Journal 16871820 2-s2.0-84873051012 10.1186/1687-1812-2012-112 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84873051012&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42682 |
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Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping to a countable number of mappings and, at the same time, we extend the underlying spaces to strictly convex Banach spaces. The corresponding results are also obtained for the CAT(0) space setting. © 2012 Anakkamatee and Dhompongsa; licensee Springer. |
| format |
Journal |
| author |
Anakkamatee W. Dhompongsa S. |
| spellingShingle |
Anakkamatee W. Dhompongsa S. An approximation of a common fixed point of nonexpansive mappings on convex metric spaces |
| author_facet |
Anakkamatee W. Dhompongsa S. |
| author_sort |
Anakkamatee W. |
| title |
An approximation of a common fixed point of nonexpansive mappings on convex metric spaces |
| title_short |
An approximation of a common fixed point of nonexpansive mappings on convex metric spaces |
| title_full |
An approximation of a common fixed point of nonexpansive mappings on convex metric spaces |
| title_fullStr |
An approximation of a common fixed point of nonexpansive mappings on convex metric spaces |
| title_full_unstemmed |
An approximation of a common fixed point of nonexpansive mappings on convex metric spaces |
| title_sort |
approximation of a common fixed point of nonexpansive mappings on convex metric spaces |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84873051012&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42682 |
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