A Scalarization Approach for Vector Variational Inequalities with Applications

  • Authors:

  • Igor V. Konnov

  • Affiliations:

  • Department of Applied Mathematics, Kazan University ul.Kremlevskaya, Kazan, Russia 18,420008

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2005

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Abstract

We consider an approach to convert vector variational inequalities into an equivalent scalar variational inequality problem with a set-valued cost mapping. Being based on this property, we give an equivalence result between weak and strong solutions of set-valued vector variational inequalities and suggest a new gap function for vector variational inequalities. Additional examples of applications in vector optimization, vector network equilibrium and vector migration equilibrium problems are also given