Semicontinuity of the solution set map to a set-valued weak vector variational inequality
C. R. Chen, Sichen Li · Journal of Industrial and Management Optimization · 2007
This paper investigates the semicontinuity of the solution set map for a parametric set-valued weak vector variational inequality in Banach spaces. The upper semicontinuity and closedness of the solution set map are obtained. A parametric gap function is proposed by using a nonlinear scalarization function. By virtue of the parametric gap function and a key assumption, the lower semicontinuity of the solution set map is established.