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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| Main Authors: | , , |
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| Format: | Journal |
| Published: |
2017
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| Online Access: | 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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| Institution: | Chiang Mai University |
| Summary: | 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. |
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