The system of generalized set-valued equilibrium problems
<p/> <p>We introduce new and interesting model of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit vector variational inequalities, the system of generalized vector and ve...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2006/16764 |
| _version_ | 1819105225901867008 |
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| author | Peng Jian-Wen |
| author_facet | Peng Jian-Wen |
| author_sort | Peng Jian-Wen |
| collection | DOAJ |
| description | <p/> <p>We introduce new and interesting model of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit vector variational inequalities, the system of generalized vector and vector-like variational inequalities introduced by Ansari et al. (2002), the system of generalized vector variational inequalities presented by Allevi et al. (2001), the system of vector equilibrium problems and the system of vector variational inequalities given by Ansari et al. (2000), the system of scalar variational inequalities presented by Ansari Yao (1999, 2000), Bianchi (1993), Cohen and Caplis (1988), Konnov (2001), and Pang (1985), the system of Ky-Fan variational inequalities proposed bt Deguire et al. (1999) as well as a variety of equilibrium problems in the literature. Several existence results of a solution for the system of generalized set-valued equilibrium problems will be shown.</p> |
| first_indexed | 2024-12-22T02:18:52Z |
| format | Article |
| id | doaj.art-72eb290692754b2ca5e2b2299f5a26c4 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-22T02:18:52Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-72eb290692754b2ca5e2b2299f5a26c42022-12-21T18:42:11ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2006-01-012006116764The system of generalized set-valued equilibrium problemsPeng Jian-Wen<p/> <p>We introduce new and interesting model of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit vector variational inequalities, the system of generalized vector and vector-like variational inequalities introduced by Ansari et al. (2002), the system of generalized vector variational inequalities presented by Allevi et al. (2001), the system of vector equilibrium problems and the system of vector variational inequalities given by Ansari et al. (2000), the system of scalar variational inequalities presented by Ansari Yao (1999, 2000), Bianchi (1993), Cohen and Caplis (1988), Konnov (2001), and Pang (1985), the system of Ky-Fan variational inequalities proposed bt Deguire et al. (1999) as well as a variety of equilibrium problems in the literature. Several existence results of a solution for the system of generalized set-valued equilibrium problems will be shown.</p>http://www.journalofinequalitiesandapplications.com/content/2006/16764 |
| spellingShingle | Peng Jian-Wen The system of generalized set-valued equilibrium problems Journal of Inequalities and Applications |
| title | The system of generalized set-valued equilibrium problems |
| title_full | The system of generalized set-valued equilibrium problems |
| title_fullStr | The system of generalized set-valued equilibrium problems |
| title_full_unstemmed | The system of generalized set-valued equilibrium problems |
| title_short | The system of generalized set-valued equilibrium problems |
| title_sort | system of generalized set valued equilibrium problems |
| url | http://www.journalofinequalitiesandapplications.com/content/2006/16764 |
| work_keys_str_mv | AT pengjianwen thesystemofgeneralizedsetvaluedequilibriumproblems AT pengjianwen systemofgeneralizedsetvaluedequilibriumproblems |