Journal of Global Optimization

, Volume 32, Issue 4, pp 517–527

A Scalarization Approach for Vector Variational Inequalities with Applications

This paper is dedicated to Professor Franco Giannessi for his 68th birthday
Article

DOI: 10.1007/s10898-003-2688-x

Cite this article as:
Konnov, I.V. J Glob Optim (2005) 32: 517. doi:10.1007/s10898-003-2688-x

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

Keywords

Gap functions scalarization approach vector equilibrium problems vector variational inequalities 

Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Department of Applied MathematicsKazan University ul.KremlevskayaKazanRussia

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