Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems
We study the set-valued vector equilibrium problems and the set-valued vector Hartman-Stampacchia variational inequalities. We prove the existence of solutions of the two problems. In addition, we prove the connectedness and the compactness of solutions of the two problems in normed linear space.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-12-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/581849 |
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doaj-7ae88e0c826643038f82f6da02397ed32020-11-25T00:56:19ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-12-01200810.1155/2008/581849Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium ProblemsShu-Min YuanXun-Hua GongBin ChenWe study the set-valued vector equilibrium problems and the set-valued vector Hartman-Stampacchia variational inequalities. We prove the existence of solutions of the two problems. In addition, we prove the connectedness and the compactness of solutions of the two problems in normed linear space.http://dx.doi.org/10.1155/2008/581849 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shu-Min Yuan Xun-Hua Gong Bin Chen |
| spellingShingle |
Shu-Min Yuan Xun-Hua Gong Bin Chen Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems Journal of Inequalities and Applications |
| author_facet |
Shu-Min Yuan Xun-Hua Gong Bin Chen |
| author_sort |
Shu-Min Yuan |
| title |
Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems |
| title_short |
Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems |
| title_full |
Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems |
| title_fullStr |
Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems |
| title_full_unstemmed |
Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems |
| title_sort |
connectedness and compactness of weak efficient solutions for set-valued vector equilibrium problems |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2008-12-01 |
| description |
We study the set-valued vector equilibrium problems and the set-valued vector Hartman-Stampacchia variational inequalities. We prove the existence of solutions of the two problems. In addition, we prove the connectedness and the compactness of solutions of the two problems in normed linear space. |
| url |
http://dx.doi.org/10.1155/2008/581849 |
| work_keys_str_mv |
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| _version_ |
1725227674372145152 |