“…(Weak) Vector equilibrium problem is to findx ∈ X 0 such that f (x, y) ∈ −S\{θ }(−intS), ∀y ∈ X 0 , where θ is the zero element of V and f : X 0 × X 0 → V is a vector-valued mapping. This problem provides a unified framework of many important problems, such as, vector optimization problems, vector saddle point problems, vector non-zero sum game problems and vector variational inequality problems and has wide applications in mathematical economics and operational research; see, e.g., [1,2,3,4,5,6] and the references therein. In view of these important applications, a lot of authors have devoted themselves to the study of existence results of vector equilibrium problems and weak vector equilibrium problems.…”