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, issue 1

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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https://doi.org/10.1155/2013/431717

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:431717

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