Journal of Optimization Theory and Applications

, Volume 162, Issue 2, pp 548–558

Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization


  • X. X. Huang
    • School of Economics and Business AdministrationChongqing University
    • Department of MathematicsSichuan University
  • X. Q. Yang
    • Department of Applied MathematicsThe Hong Kong Polytechnic University

DOI: 10.1007/s10957-012-0224-1

Cite this article as:
Huang, X.X., Fang, Y.P. & Yang, X.Q. J Optim Theory Appl (2014) 162: 548. doi:10.1007/s10957-012-0224-1


In this paper, the nonemptiness and compactness of the solution set of a pseudomonotone vector variational inequality defined in a finite-dimensional space are characterized in terms of that of the solution sets of a family of linearly scalarized variational inequalities.


Vector variational inequality Solution set Pseudomonotonicity Scalarization Vector optimization

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