Continuity of approximate solution maps to vector equilibrium problems
Lâm Quốc Anh, Pham Thanh Duoc, Tran Ngoc Tam · Journal of Industrial and Management Optimization · 2016
This paper considers the parametric primal and dual vector equilibrium problems in locally convex Hausdorff topological vector spaces. Based on linear scalarization technique, we establish sufficient conditions for the continuity of approximate solution maps to these problems. As applications, some new results for vector optimization problem and vector variational inequality are derived. Our results are new and improve the existing ones in the literature.