Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
We generalize the notion of K-mapping due to Kangtunyakarn and Suantai (2009). [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an in...
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th-cmuir.6653943832-68432014-08-30T03:51:18Z Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces Phuengrattana W. Suantai S. We generalize the notion of K-mapping due to Kangtunyakarn and Suantai (2009). [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an infinite family of nonexpansive mappings on a uniformly convex metric space. © 2012 Elsevier Ltd. 2014-08-30T03:51:18Z 2014-08-30T03:51:18Z 2013 Article 08957177 10.1016/j.mcm.2012.01.008 MCMOE http://www.scopus.com/inward/record.url?eid=2-s2.0-84870502668&partnerID=40&md5=44862a718950ae32146d5c07ab002c29 http://cmuir.cmu.ac.th/handle/6653943832/6843 English |
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Thailand |
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English |
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We generalize the notion of K-mapping due to Kangtunyakarn and Suantai (2009). [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an infinite family of nonexpansive mappings on a uniformly convex metric space. © 2012 Elsevier Ltd. |
| format |
Article |
| author |
Phuengrattana W. Suantai S. |
| spellingShingle |
Phuengrattana W. Suantai S. Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces |
| author_facet |
Phuengrattana W. Suantai S. |
| author_sort |
Phuengrattana W. |
| title |
Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces |
| title_short |
Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces |
| title_full |
Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces |
| title_fullStr |
Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces |
| title_full_unstemmed |
Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces |
| title_sort |
common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84870502668&partnerID=40&md5=44862a718950ae32146d5c07ab002c29 http://cmuir.cmu.ac.th/handle/6653943832/6843 |
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1681420689691639808 |