On Kirk''s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces
We prove a strong convergence theorem for multivalued nonexpansive mappings which includes Kirk's convergence theorem on CAT(0) spaces. The theorem properly contains a result of Jung for Hilbert spaces. We then apply the result to approximate a common fixed point of a countable family of single...
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th-cmuir.6653943832-59962014-08-30T03:23:43Z On Kirk''s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces Dhompongsa S. Kaewkhao A. Panyanak B. We prove a strong convergence theorem for multivalued nonexpansive mappings which includes Kirk's convergence theorem on CAT(0) spaces. The theorem properly contains a result of Jung for Hilbert spaces. We then apply the result to approximate a common fixed point of a countable family of single-valued nonexpansive mappings and a compact valued nonexpansive mapping. © 2011 Elsevier Ltd. All rights reserved. 2014-08-30T03:23:43Z 2014-08-30T03:23:43Z 2012 Article 0362546X 10.1016/j.na.2011.08.046 NOAND http://www.scopus.com/inward/record.url?eid=2-s2.0-80054973435&partnerID=40&md5=4b893daa6fb35d3e41e170fc2ecefd44 http://cmuir.cmu.ac.th/handle/6653943832/5996 English |
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We prove a strong convergence theorem for multivalued nonexpansive mappings which includes Kirk's convergence theorem on CAT(0) spaces. The theorem properly contains a result of Jung for Hilbert spaces. We then apply the result to approximate a common fixed point of a countable family of single-valued nonexpansive mappings and a compact valued nonexpansive mapping. © 2011 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Dhompongsa S. Kaewkhao A. Panyanak B. |
| spellingShingle |
Dhompongsa S. Kaewkhao A. Panyanak B. On Kirk''s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces |
| author_facet |
Dhompongsa S. Kaewkhao A. Panyanak B. |
| author_sort |
Dhompongsa S. |
| title |
On Kirk''s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces |
| title_short |
On Kirk''s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces |
| title_full |
On Kirk''s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces |
| title_fullStr |
On Kirk''s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces |
| title_full_unstemmed |
On Kirk''s strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces |
| title_sort |
on kirk''s strong convergence theorem for multivalued nonexpansive mappings on cat(0) spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-80054973435&partnerID=40&md5=4b893daa6fb35d3e41e170fc2ecefd44 http://cmuir.cmu.ac.th/handle/6653943832/5996 |
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1681420530704449536 |