Vector optimization model has found many important applications in decision making problems such as those in economics theory, management science, and engineering design (since the introduction of the Pareto optimal solu- tion in 1896). Typical examples of vector optimization model include maxi- mization/minimization of the objective pairs (time, cost), (benefit, cost), and (mean, variance) etc. Many practical equilibrium problems can be formulated as variational in- equality problems, rather than optimization problems, unless further assump- tions are imposed. The vector variational...