Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets
We study the connectedness of solution set for set-valued weak vector variational inequality in unbounded closed convex subsets of finite dimensional spaces, when the mapping involved is scalar C-pseudomonotone. Moreover, the path connectedness of solution set for set-valued weak vector variational...
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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/10.1155/2013/431717 |
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| _version_ | 1849398504194048000 |
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| author | Ren-you Zhong Yun-liang Wang Jiang-hua Fan |
| author_facet | Ren-you Zhong Yun-liang Wang Jiang-hua Fan |
| author_sort | Ren-you Zhong |
| collection | DOAJ |
| description | We study the connectedness of solution set for set-valued weak vector variational inequality in unbounded closed convex subsets of finite dimensional spaces, when the mapping involved is scalar C-pseudomonotone. Moreover, the path connectedness of solution set for set-valued weak vector variational inequality is established, when the mapping involved is strictly scalar C-pseudomonotone. The results presented in this paper generalize some known results by Cheng (2001), Lee et al. (1998), and Lee and Bu (2005). |
| format | Article |
| id | doaj-art-a13b4c42e5244e4fb341fbd83dbfe3ac |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a13b4c42e5244e4fb341fbd83dbfe3ac2025-08-20T03:38:35ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/431717431717Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex SetsRen-you Zhong0Yun-liang Wang1Jiang-hua Fan2Department of Mathematics, Guangxi Normal University, Guilin, Guangxi 541004, ChinaDepartment of Mathematics, Guangxi Normal University, Guilin, Guangxi 541004, ChinaDepartment of Mathematics, Guangxi Normal University, Guilin, Guangxi 541004, ChinaWe study the connectedness of solution set for set-valued weak vector variational inequality in unbounded closed convex subsets of finite dimensional spaces, when the mapping involved is scalar C-pseudomonotone. Moreover, the path connectedness of solution set for set-valued weak vector variational inequality is established, when the mapping involved is strictly scalar C-pseudomonotone. The results presented in this paper generalize some known results by Cheng (2001), Lee et al. (1998), and Lee and Bu (2005).http://dx.doi.org/10.1155/2013/431717 |
| spellingShingle | Ren-you Zhong Yun-liang Wang Jiang-hua Fan Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets Abstract and Applied Analysis |
| title | Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets |
| title_full | Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets |
| title_fullStr | Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets |
| title_full_unstemmed | Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets |
| title_short | Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets |
| title_sort | connectedness of solution sets for weak vector variational inequalities on unbounded closed convex sets |
| url | http://dx.doi.org/10.1155/2013/431717 |
| work_keys_str_mv | AT renyouzhong connectednessofsolutionsetsforweakvectorvariationalinequalitiesonunboundedclosedconvexsets AT yunliangwang connectednessofsolutionsetsforweakvectorvariationalinequalitiesonunboundedclosedconvexsets AT jianghuafan connectednessofsolutionsetsforweakvectorvariationalinequalitiesonunboundedclosedconvexsets |