Proper efficiency and vector variational inequalities
Giovanni P. Crespi · Journal of Information and Optimization Sciences · 2002
The relationship between vector variational inequalities and vector minimization problems are studied. We prove that, under some suitable convexity assumptions, the set of strong solutions of a vector variational inequality equals the set of Klinger properly efficient points for a vector minimization problem. Moreover, by means of scalarization arguments, we are able to establish a relation between the set of strong solutions of a vector variational inequality and the set of Hurwicz properly efficient points of a vector minimization problem.