Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals
We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al. We also correct the strong convergence theorem recently proved by He and Chen (2007).
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-03-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/745010 |
| _version_ | 1818738951419068416 |
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| author | Satit Saejung |
| author_facet | Satit Saejung |
| author_sort | Satit Saejung |
| collection | DOAJ |
| description | We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al. We also correct the strong convergence theorem recently proved by He and Chen (2007). |
| first_indexed | 2024-12-18T01:17:06Z |
| format | Article |
| id | doaj.art-1a81f2e9e28647ff93bcbd81b94e1648 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-18T01:17:06Z |
| publishDate | 2008-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-1a81f2e9e28647ff93bcbd81b94e16482022-12-21T21:25:55ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-03-01200810.1155/2008/745010Strong Convergence Theorems for Nonexpansive Semigroups without Bochner IntegralsSatit SaejungWe prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al. We also correct the strong convergence theorem recently proved by He and Chen (2007).http://dx.doi.org/10.1155/2008/745010 |
| spellingShingle | Satit Saejung Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals Fixed Point Theory and Applications |
| title | Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals |
| title_full | Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals |
| title_fullStr | Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals |
| title_full_unstemmed | Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals |
| title_short | Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals |
| title_sort | strong convergence theorems for nonexpansive semigroups without bochner integrals |
| url | http://dx.doi.org/10.1155/2008/745010 |
| work_keys_str_mv | AT satitsaejung strongconvergencetheoremsfornonexpansivesemigroupswithoutbochnerintegrals |