Connectedness of solution sets for weak vector variational inequalities on unbounded closed convex sets. (English) Zbl 1272.49023
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.
Keywords:
set-valued weak vector variational inequalities; scalar \(C\)-pseudomonotonicity; connectedness; pathwise connectednessReferences:
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