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.6653943832-518112018-09-04T06:09:32Z On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces S. Dhompongsa A. Kaewkhao B. Panyanak Mathematics 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. 2018-09-04T06:09:32Z 2018-09-04T06:09:32Z 2012-01-01 Journal 0362546X 2-s2.0-80054973435 10.1016/j.na.2011.08.046 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80054973435&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51811 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics S. Dhompongsa A. Kaewkhao B. Panyanak On Kirk's strong convergence theorem for multivalued nonexpansive mappings on CAT(0) spaces |
| description |
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 |
Journal |
| author |
S. Dhompongsa A. Kaewkhao B. Panyanak |
| author_facet |
S. Dhompongsa A. Kaewkhao B. Panyanak |
| author_sort |
S. Dhompongsa |
| 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 |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80054973435&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51811 |
| _version_ |
1681423837217947648 |