Algorithms for a System of General Variational Inequalities in Banach Spaces
The purpose of this paper is using Korpelevich's extragradient method to study the existence problem of solutions and approximation solvability problem for a class of systems of finite family of general nonlinear variational inequality in Banach spaces, which includes many kinds of variational...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/580158 |
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| _version_ | 1832566672664297472 |
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| author | Jin-Hua Zhu Shih-Sen Chang Min Liu |
| author_facet | Jin-Hua Zhu Shih-Sen Chang Min Liu |
| author_sort | Jin-Hua Zhu |
| collection | DOAJ |
| description | The purpose of this paper is using Korpelevich's extragradient method to study the existence problem of solutions and approximation solvability problem for a class of systems of finite family of general nonlinear variational inequality in Banach spaces, which includes many kinds of variational inequality problems as special cases. Under suitable conditions, some existence theorems and approximation solvability theorems are proved. The results presented in the paper improve and extend some recent results. |
| format | Article |
| id | doaj-art-4cf0b165a2e849d3b50ca69e19b2e776 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4cf0b165a2e849d3b50ca69e19b2e7762025-02-03T01:03:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/580158580158Algorithms for a System of General Variational Inequalities in Banach SpacesJin-Hua Zhu0Shih-Sen Chang1Min Liu2Department of Mathematics, Yibin University, Sichuan, Yibin 644007, ChinaCollege of Statistics and Mathematics, Yunnan University of Finance and Economics, Yunnan, Kunming 650221, ChinaDepartment of Mathematics, Yibin University, Sichuan, Yibin 644007, ChinaThe purpose of this paper is using Korpelevich's extragradient method to study the existence problem of solutions and approximation solvability problem for a class of systems of finite family of general nonlinear variational inequality in Banach spaces, which includes many kinds of variational inequality problems as special cases. Under suitable conditions, some existence theorems and approximation solvability theorems are proved. The results presented in the paper improve and extend some recent results.http://dx.doi.org/10.1155/2012/580158 |
| spellingShingle | Jin-Hua Zhu Shih-Sen Chang Min Liu Algorithms for a System of General Variational Inequalities in Banach Spaces Journal of Applied Mathematics |
| title | Algorithms for a System of General Variational Inequalities in Banach Spaces |
| title_full | Algorithms for a System of General Variational Inequalities in Banach Spaces |
| title_fullStr | Algorithms for a System of General Variational Inequalities in Banach Spaces |
| title_full_unstemmed | Algorithms for a System of General Variational Inequalities in Banach Spaces |
| title_short | Algorithms for a System of General Variational Inequalities in Banach Spaces |
| title_sort | algorithms for a system of general variational inequalities in banach spaces |
| url | http://dx.doi.org/10.1155/2012/580158 |
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