Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications
An iterative sequence for quasi--asymptotically nonexpansive multivalued mapping for modifying Halpern's iterations is introduced. Under suitable conditions, some strong convergence theorems are proved. The results presented in the paper improve and extend the corresponding results in the work...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/912545 |
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| _version_ | 1849435144082948096 |
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| author | Li Yi |
| author_facet | Li Yi |
| author_sort | Li Yi |
| collection | DOAJ |
| description | An iterative sequence for quasi--asymptotically nonexpansive multivalued mapping for modifying Halpern's iterations is introduced. Under suitable conditions, some strong convergence theorems are proved. The results presented in the paper improve and extend the corresponding results in the work by Chang et al. 2011. |
| format | Article |
| id | doaj-art-df5364c9ecbc483fa3f1d7aacf7e23e1 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-df5364c9ecbc483fa3f1d7aacf7e23e12025-08-20T03:26:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/912545912545Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with ApplicationsLi Yi0School of Science, Southwest University of Science and Technology, Mianyang, Sichuan 621010, ChinaAn iterative sequence for quasi--asymptotically nonexpansive multivalued mapping for modifying Halpern's iterations is introduced. Under suitable conditions, some strong convergence theorems are proved. The results presented in the paper improve and extend the corresponding results in the work by Chang et al. 2011.http://dx.doi.org/10.1155/2012/912545 |
| spellingShingle | Li Yi Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications Journal of Applied Mathematics |
| title | Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications |
| title_full | Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications |
| title_fullStr | Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications |
| title_full_unstemmed | Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications |
| title_short | Strong Convergence Theorems for Modifying Halpern Iterations for Quasi--Asymptotically Nonexpansive Multivalued Mapping in Banach Spaces with Applications |
| title_sort | strong convergence theorems for modifying halpern iterations for quasi asymptotically nonexpansive multivalued mapping in banach spaces with applications |
| url | http://dx.doi.org/10.1155/2012/912545 |
| work_keys_str_mv | AT liyi strongconvergencetheoremsformodifyinghalperniterationsforquasiasymptoticallynonexpansivemultivaluedmappinginbanachspaceswithapplications |