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 scalarC-pseudomonotone. Moreover, the path connectedness of solution set for set-valued weak vector variational inequality is established, when the mapping involved is strictly scalarC-pseudomonotone. The results presented in this paper generalize some known results by Cheng (2001), Lee et al. (1998), and Lee and Bu (2005).
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机译：当涉及的映射是标量C-伪单调时，我们研究了有限值空间的无界闭合凸子集中的集值弱向量变分不等式解集的连通性。此外，当所涉及的映射严格为标量C-伪单调时，建立了集值弱矢量变分不等式解集的路径连通性。本文介绍的结果概括了Cheng（2001），Lee等人的一些已知结果。 （1998），以及Lee and Bu（2005）。
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