Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets

Ren-you Zhong, Yun-liang Wang and Jiang-hua Fan

Abstract and Applied Analysis, 2013, vol. 2013, 1-5

Abstract:

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).

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:431717

DOI: 10.1155/2013/431717

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