On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
© 2016 Informa UK Limited, trading as Taylor & Francis Group. We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our...
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th-cmuir.6653943832-408382017-09-28T04:11:44Z On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces Suparatulatorn R. Cholamjiak P. Suantai S. © 2016 Informa UK Limited, trading as Taylor & Francis Group. We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend some known results which appeared in the literature. 2017-09-28T04:11:43Z 2017-09-28T04:11:43Z 1 Journal 10556788 2-s2.0-84989246664 10.1080/10556788.2016.1219908 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84989246664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40838 |
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© 2016 Informa UK Limited, trading as Taylor & Francis Group. We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend some known results which appeared in the literature. |
| format |
Journal |
| author |
Suparatulatorn R. Cholamjiak P. Suantai S. |
| spellingShingle |
Suparatulatorn R. Cholamjiak P. Suantai S. On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces |
| author_facet |
Suparatulatorn R. Cholamjiak P. Suantai S. |
| author_sort |
Suparatulatorn R. |
| title |
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces |
| title_short |
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces |
| title_full |
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces |
| title_fullStr |
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces |
| title_full_unstemmed |
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces |
| title_sort |
on solving the minimization problem and the fixed-point problem for nonexpansive mappings in cat(0) spaces |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84989246664&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/40838 |
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