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 mappin...
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th-cmuir.6653943832-432602017-09-28T06:53:02Z Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces Butsan T. Dhompongsa S. Takahashi W. 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. 2017-09-28T06:53:02Z 2017-09-28T06:53:02Z 2010-08-01 Journal 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/6653943832/43260 |
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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 |
Butsan T. Dhompongsa S. Takahashi W. |
| spellingShingle |
Butsan T. Dhompongsa S. Takahashi W. Strong convergence theorems by hybrid methods for families of relatively nonexpansive mappings in Hilbert spaces |
| author_facet |
Butsan T. Dhompongsa S. Takahashi W. |
| author_sort |
Butsan T. |
| 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 |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84894051431&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43260 |
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