Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
We investigate strong convergence for Bregman strongly nonexpansive mappings by Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result, convergence for a family of Bregman strongly nonexpansive mappings is also discussed. As applications, we apply our main re...
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th-cmuir.6653943832-67412014-08-30T03:51:11Z Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces Suantai S. Cho Y.J. Cholamjiak P. We investigate strong convergence for Bregman strongly nonexpansive mappings by Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result, convergence for a family of Bregman strongly nonexpansive mappings is also discussed. As applications, we apply our main result to problems of finding zeros of maximal monotone operators and equilibrium problems in reflexive Banach spaces. © 2011 Elsevier Ltd. All rights reserved. 2014-08-30T03:51:11Z 2014-08-30T03:51:11Z 2012 Article 8981221 10.1016/j.camwa.2011.12.026 CMAPD http://www.scopus.com/inward/record.url?eid=2-s2.0-84864287996&partnerID=40&md5=58f9fdcc7428af3524f9bebf6cd7e1ad http://cmuir.cmu.ac.th/handle/6653943832/6741 English |
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We investigate strong convergence for Bregman strongly nonexpansive mappings by Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result, convergence for a family of Bregman strongly nonexpansive mappings is also discussed. As applications, we apply our main result to problems of finding zeros of maximal monotone operators and equilibrium problems in reflexive Banach spaces. © 2011 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Suantai S. Cho Y.J. Cholamjiak P. |
| spellingShingle |
Suantai S. Cho Y.J. Cholamjiak P. Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces |
| author_facet |
Suantai S. Cho Y.J. Cholamjiak P. |
| author_sort |
Suantai S. |
| title |
Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces |
| title_short |
Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces |
| title_full |
Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces |
| title_fullStr |
Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces |
| title_full_unstemmed |
Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces |
| title_sort |
halpern's iteration for bregman strongly nonexpansive mappings in reflexive banach spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84864287996&partnerID=40&md5=58f9fdcc7428af3524f9bebf6cd7e1ad http://cmuir.cmu.ac.th/handle/6653943832/6741 |
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1681420670531010560 |