Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces
A finite-step iteration sequence for two finite families of asymptotically nonexpansive mappings is introduced and the weak and strong convergence theorems are proved in Banach space. The results presented in the paper generalize and unify some important known results of relevant scholars.
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/275607 |
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| _version_ | 1832548695683366912 |
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| author | Lei Deng Juan Xiao |
| author_facet | Lei Deng Juan Xiao |
| author_sort | Lei Deng |
| collection | DOAJ |
| description | A finite-step iteration sequence for two finite families of asymptotically nonexpansive mappings is introduced and the weak and strong convergence theorems are proved in Banach space. The results presented in the paper generalize and unify some important known results of relevant scholars. |
| format | Article |
| id | doaj-art-b4e83bbe1f30430095bd33fe1e9b2f3a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b4e83bbe1f30430095bd33fe1e9b2f3a2025-02-03T06:13:20ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/275607275607Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach SpacesLei Deng0Juan Xiao1School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaA finite-step iteration sequence for two finite families of asymptotically nonexpansive mappings is introduced and the weak and strong convergence theorems are proved in Banach space. The results presented in the paper generalize and unify some important known results of relevant scholars.http://dx.doi.org/10.1155/2014/275607 |
| spellingShingle | Lei Deng Juan Xiao Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces Abstract and Applied Analysis |
| title | Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces |
| title_full | Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces |
| title_fullStr | Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces |
| title_full_unstemmed | Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces |
| title_short | Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces |
| title_sort | weak and strong convergence theorems for finite families of asymptotically quasi nonexpansive mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2014/275607 |
| work_keys_str_mv | AT leideng weakandstrongconvergencetheoremsforfinitefamiliesofasymptoticallyquasinonexpansivemappingsinbanachspaces AT juanxiao weakandstrongconvergencetheoremsforfinitefamiliesofasymptoticallyquasinonexpansivemappingsinbanachspaces |