Properties of Gap Function for Vector Variational Inequality

  • S. J. Li
  • G. Y. Chen
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 79)


The purpose of this paper is to investigate differential properties of a class of set-valued maps and gap functions involving vector variational inequalities. Relationship between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is established. Optimality conditions of solutions for vector variational inequalities are obtained.

Key words

Contingent derivative gap function vector variational inequalities 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • S. J. Li
    • 1
  • G. Y. Chen
    • 2
  1. 1.Department of Information and Computer Sciences, College of SciencesChongqing UniversityChongqingChina
  2. 2.Institute of Systems ScienceChinese Academy of SciencesBeijingChina

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