Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities
We propose synchronal algorithm and cyclic algorithm based on the general iterative method for solving a hierarchical fixed point problem. Under suitable parameters, the iterative sequence converges strongly to a common fixed point of nonexpansive mappings and also the unique solution of a variatio...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/750473 |
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| _version_ | 1849685754193641472 |
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| author | Peichao Duan |
| author_facet | Peichao Duan |
| author_sort | Peichao Duan |
| collection | DOAJ |
| description | We propose synchronal algorithm and cyclic algorithm based on the general iterative method for solving a hierarchical fixed point problem. Under suitable parameters, the iterative sequence converges strongly to a common fixed point of nonexpansive mappings and also the unique solution of a variational inequality. The results
presented in this paper improve and extend the corresponding results reported recently by some authors. Furthermore, a numerical example is given to demonstrate the effectiveness of our iterative schemes. |
| format | Article |
| id | doaj-art-b9ec9957f6c54801b3a4ae977fab0c77 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b9ec9957f6c54801b3a4ae977fab0c772025-08-20T03:22:58ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/750473750473Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational InequalitiesPeichao Duan0College of Science, Civil Aviation University of China, Tianjin 300300, ChinaWe propose synchronal algorithm and cyclic algorithm based on the general iterative method for solving a hierarchical fixed point problem. Under suitable parameters, the iterative sequence converges strongly to a common fixed point of nonexpansive mappings and also the unique solution of a variational inequality. The results presented in this paper improve and extend the corresponding results reported recently by some authors. Furthermore, a numerical example is given to demonstrate the effectiveness of our iterative schemes.http://dx.doi.org/10.1155/2013/750473 |
| spellingShingle | Peichao Duan Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities Abstract and Applied Analysis |
| title | Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities |
| title_full | Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities |
| title_fullStr | Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities |
| title_full_unstemmed | Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities |
| title_short | Synchronal Algorithm and Cyclic Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities |
| title_sort | synchronal algorithm and cyclic algorithm for hierarchical fixed point problems and variational inequalities |
| url | http://dx.doi.org/10.1155/2013/750473 |
| work_keys_str_mv | AT peichaoduan synchronalalgorithmandcyclicalgorithmforhierarchicalfixedpointproblemsandvariationalinequalities |