This issuePrevious ArticleSemismooth reformulation and Newton's method for the security region problem of power systemsNext ArticleSemicontinuity of solution mappings of parametric generalized strong vector equilibrium problems
On the stability of a dual weak vector variational inequality problem
In this paper, we obtain some stability results for the dual
problem of a weak vector variational inequality problem. We
establish the upper semicontinuity property of the solution set
for a perturbed dual problem of a weak vector variational
inequality problem. By virtue of a parametric gap function and a
key assumption, we also obtain the lower semicontinuity property
of the solution set for the perturbed dual problem. Some examples
are given for the illustration of the necessity of our research on
duality.