Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces
In 2008, Takahashi, Takeuchi and Kubota [10] proved a strong convergence theorem by the hybrid method for a family of nonexpansive mappings which generalized Nakajo and Takahashi's theorems [6]. Furthermore, they obtained another strong convergence theorem for the family of nonexpansive mapping...
Saved in:
| Main Authors: | , , |
|---|---|
| 格式: | 雜誌 |
| 出版: |
2018
|
| 主題: | |
| 在線閱讀: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84894051431&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50986 |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 機構: | Chiang Mai University |
| id |
th-cmuir.6653943832-50986 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-509862018-09-04T04:49:26Z Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces T. Butsan S. Dhompongsa W. Takahashi Mathematics In 2008, Takahashi, Takeuchi and Kubota [10] proved a strong convergence theorem by the hybrid method for a family of nonexpansive mappings which generalized Nakajo and Takahashi's theorems [6]. Furthermore, they obtained another strong convergence theorem for the family of nonexpansive mappings by a hybrid method which is different from Nakajo and Takahashi. In this paper, we extend Takahashi, Takeuchi and Kubota's results for a single relatively nonexpansive mapping or a family of relatively nonexpansive mappings in a Hilbert space. Using these results, we obtain some new strong convergence theorems in a Hilbert space. © 2010 yokohama publishers. 2018-09-04T04:49:26Z 2018-09-04T04:49:26Z 2010-08-01 Journal 18805221 13454773 2-s2.0-84894051431 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84894051431&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50986 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| topic |
Mathematics |
| spellingShingle |
Mathematics T. Butsan S. Dhompongsa W. Takahashi Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces |
| description |
In 2008, Takahashi, Takeuchi and Kubota [10] proved a strong convergence theorem by the hybrid method for a family of nonexpansive mappings which generalized Nakajo and Takahashi's theorems [6]. Furthermore, they obtained another strong convergence theorem for the family of nonexpansive mappings by a hybrid method which is different from Nakajo and Takahashi. In this paper, we extend Takahashi, Takeuchi and Kubota's results for a single relatively nonexpansive mapping or a family of relatively nonexpansive mappings in a Hilbert space. Using these results, we obtain some new strong convergence theorems in a Hilbert space. © 2010 yokohama publishers. |
| format |
Journal |
| author |
T. Butsan S. Dhompongsa W. Takahashi |
| author_facet |
T. Butsan S. Dhompongsa W. Takahashi |
| author_sort |
T. Butsan |
| title |
Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces |
| title_short |
Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces |
| title_full |
Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces |
| title_fullStr |
Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces |
| title_full_unstemmed |
Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces |
| title_sort |
strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in hilbert spaces |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84894051431&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50986 |
| _version_ |
1681423688304427008 |