On vector equilibrium problems: Remarks on a general existence theorem and applications (Q1396068)

In this paper the authors have considered vector equilibrium problems. However, their applications to variational-like inequalities are incorrect and wrong. It is known that the variational-like inequalities are only well defined on the invex sets, which are not convex sets. Consequently all the results obtained for variational-like inequalities in the convexity setting are misleading and artificial. The readers are advised that variational-like inequalities should be studied in the context of invexity.