Connectedness of solution sets for weak vector variational inequalities on unbounded closed convex sets (Q369950)
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scientific article; zbMATH DE number 6209298
| Language | Label | Description | Also known as |
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| English | Connectedness of solution sets for weak vector variational inequalities on unbounded closed convex sets |
scientific article; zbMATH DE number 6209298 |
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Connectedness of solution sets for weak vector variational inequalities on unbounded closed convex sets (English)
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19 September 2013
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Summary: We study the connectedness of solution sets of set-valued weak vector variational inequalities in unbounded closed convex subsets of finite dimensional spaces, when the mapping involved is scalar \(C\)-pseudomonotone. Moreover, the pathwise connectedness of solution sets of set-valued weak vector variational inequalities is established, when the mapping involved is strictly scalar \(C\)-pseudomonotone. The results presented in this paper generalize some known results.
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set-valued weak vector variational inequalities
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scalar \(C\)-pseudomonotonicity
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connectedness
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pathwise connectedness
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