Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems
<p/> <p>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 nor...
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2008-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2008/581849 |
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doaj-d055e44e88354f389361850e333d65892020-11-25T00:55:42ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-01-0120081581849Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium ProblemsChen BinGong Xun-HuaYuan Shu-Min<p/> <p>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.</p>http://www.journalofinequalitiesandapplications.com/content/2008/581849 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chen Bin Gong Xun-Hua Yuan Shu-Min |
| spellingShingle |
Chen Bin Gong Xun-Hua Yuan Shu-Min Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems Journal of Inequalities and Applications |
| author_facet |
Chen Bin Gong Xun-Hua Yuan Shu-Min |
| author_sort |
Chen Bin |
| 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 |
2008-01-01 |
| description |
<p/> <p>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.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2008/581849 |
| work_keys_str_mv |
AT chenbin connectednessandcompactnessofweakefficientsolutionsforsetvaluedvectorequilibriumproblems AT gongxunhua connectednessandcompactnessofweakefficientsolutionsforsetvaluedvectorequilibriumproblems AT yuanshumin connectednessandcompactnessofweakefficientsolutionsforsetvaluedvectorequilibriumproblems |
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1725229783487348736 |