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


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 

Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.School of Economics and Business AdministrationChongqing UniversityChongqingChina
  2. 2.Department of MathematicsSichuan UniversityChengduP.R. China
  3. 3.Department of Applied MathematicsThe Hong Kong Polytechnic UniversityHung HumHong Kong

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