2.1 To restrict a condition of objective function on base for dual cone C^* that cause the lower semicontinuity of the set of efficient solutions for parametric weak vector equilibrium problems when the efficient solution set is a general set valued one.
2.2 To deal with the lower and upper semicontinuity, continuity of set-valued solution mappings to parametric strong vector equilibriums by using linear scalarization function.
2.3 As applications, to derive this continuity for constrained minimization, variational inequality problems
2.4 As applications, to establish the continuity of a set-valued solution mapping for the Nash equilibrium.