-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
New △-convergence theorems of iterative sequences for asymptotically nonexpansive mappings in CAT(0) spaces are obtained. Consider an asymptotically nonexpansive self-mapping of a closed convex subset of a CAT(0) space . Consider the iteration process , where is arbitrary and or for , where . I...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/251705 |
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| _version_ | 1832549397617967104 |
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| author | Luo Yi Shi Ru Dong Chen Yu Jing Wu |
| author_facet | Luo Yi Shi Ru Dong Chen Yu Jing Wu |
| author_sort | Luo Yi Shi |
| collection | DOAJ |
| description | New △-convergence theorems of iterative sequences for asymptotically nonexpansive mappings in CAT(0) spaces are obtained. Consider an asymptotically nonexpansive self-mapping of a closed convex subset of a CAT(0) space . Consider the iteration process , where is arbitrary and or for , where . It is shown that under certain appropriate conditions on △-converges to a fixed point of . |
| format | Article |
| id | doaj-art-b1340ba6a32849ef9cc7900848e5f1b4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b1340ba6a32849ef9cc7900848e5f1b42025-02-03T06:11:30ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/251705251705-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) SpacesLuo Yi Shi0Ru Dong Chen1Yu Jing Wu2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaTianjin Vocational Institute, Tianjin 300410, ChinaNew △-convergence theorems of iterative sequences for asymptotically nonexpansive mappings in CAT(0) spaces are obtained. Consider an asymptotically nonexpansive self-mapping of a closed convex subset of a CAT(0) space . Consider the iteration process , where is arbitrary and or for , where . It is shown that under certain appropriate conditions on △-converges to a fixed point of .http://dx.doi.org/10.1155/2013/251705 |
| spellingShingle | Luo Yi Shi Ru Dong Chen Yu Jing Wu -Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces Abstract and Applied Analysis |
| title | -Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_full | -Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_fullStr | -Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_full_unstemmed | -Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_short | -Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces |
| title_sort | convergence problems for asymptotically nonexpansive mappings in cat 0 spaces |
| url | http://dx.doi.org/10.1155/2013/251705 |
| work_keys_str_mv | AT luoyishi convergenceproblemsforasymptoticallynonexpansivemappingsincat0spaces AT rudongchen convergenceproblemsforasymptoticallynonexpansivemappingsincat0spaces AT yujingwu convergenceproblemsforasymptoticallynonexpansivemappingsincat0spaces |