Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces
The convex feasibility problem (CFP) of finding a point in the nonempty intersection ⋂i=1NCi is considered, where N⩾1 is an integer and the Ci's are assumed to be convex closed subsets of a Banach space E. By using hybrid iterative methods, we prove theorems on the st...
| Format: | Article |
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| Language: | English |
| Published: |
SpringerOpen
2009-03-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/583082 |
| _version_ | 1818384346995752960 |
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| collection | DOAJ |
| description | The convex feasibility problem (CFP) of finding a point in the nonempty intersection ⋂i=1NCi is considered, where N⩾1 is an integer and the Ci's are assumed to be convex closed subsets of a Banach space E. By using hybrid iterative methods, we prove theorems on the strong convergence to a common fixed point for a finite family of relatively nonexpansive mappings. Then, we apply our results for solving convex feasibility problems in Banach spaces. |
| first_indexed | 2024-12-14T03:20:49Z |
| format | Article |
| id | doaj.art-798315d7fcde45569651c18d653d5dce |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-14T03:20:49Z |
| publishDate | 2009-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-798315d7fcde45569651c18d653d5dce2022-12-21T23:19:02ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-03-01200810.1155/2008/583082Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach SpacesThe convex feasibility problem (CFP) of finding a point in the nonempty intersection ⋂i=1NCi is considered, where N⩾1 is an integer and the Ci's are assumed to be convex closed subsets of a Banach space E. By using hybrid iterative methods, we prove theorems on the strong convergence to a common fixed point for a finite family of relatively nonexpansive mappings. Then, we apply our results for solving convex feasibility problems in Banach spaces.http://dx.doi.org/10.1155/2008/583082 |
| spellingShingle | Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces Fixed Point Theory and Applications |
| title | Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces |
| title_full | Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces |
| title_fullStr | Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces |
| title_full_unstemmed | Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces |
| title_short | Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces |
| title_sort | hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2008/583082 |