A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications
By using a specific way of choosing the indexes, we propose an iteration algorithm generated by the monotone CQ method for approximating common fixed points of an infinite family of relatively quasinonexpansive mappings. A strong convergence theorem without the stronger assumptions of the AKTT condi...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/437430 |
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| _version_ | 1832551765145288704 |
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| author | Wei-Qi Deng |
| author_facet | Wei-Qi Deng |
| author_sort | Wei-Qi Deng |
| collection | DOAJ |
| description | By using a specific way of choosing the indexes, we propose an iteration algorithm generated by the monotone CQ method for approximating common fixed points of an infinite family of relatively quasinonexpansive mappings. A strong convergence theorem without the stronger assumptions of the AKTT condition and the ∗AKTT condition imposed on the involved mappings is established in the framework of Banach space. As application, an iterative solution to a system of equilibrium problems is studied. The result is more applicable than those of other authors with related interest. |
| format | Article |
| id | doaj-art-dca1f40ef29741ec9e2119d5d5b5a417 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dca1f40ef29741ec9e2119d5d5b5a4172025-02-03T06:00:42ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/437430437430A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with ApplicationsWei-Qi Deng0College of Statistics and Mathematics, Yunnan University of Finance and Economics, Yunnan, Kunming 650221, ChinaBy using a specific way of choosing the indexes, we propose an iteration algorithm generated by the monotone CQ method for approximating common fixed points of an infinite family of relatively quasinonexpansive mappings. A strong convergence theorem without the stronger assumptions of the AKTT condition and the ∗AKTT condition imposed on the involved mappings is established in the framework of Banach space. As application, an iterative solution to a system of equilibrium problems is studied. The result is more applicable than those of other authors with related interest.http://dx.doi.org/10.1155/2012/437430 |
| spellingShingle | Wei-Qi Deng A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications Abstract and Applied Analysis |
| title | A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications |
| title_full | A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications |
| title_fullStr | A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications |
| title_full_unstemmed | A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications |
| title_short | A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications |
| title_sort | new approach to the approximation of common fixed points of an infinite family of relatively quasinonexpansive mappings with applications |
| url | http://dx.doi.org/10.1155/2012/437430 |
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