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Mathematical Methods of Operations Research

, Volume 57, Issue 3, pp 377–391 | Cite as

Differential and sensitivity properties of gap functions for vector variational inequalities

  • S. J. Li
  • Hong Yan
  • G. Y. Chen
Original articles

Abstract.

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-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • S. J. Li
    • 1
  • Hong Yan
    • 2
  • G. Y. Chen
    • 3
  1. 1.Department of Information and Computer Sciences, College of Sciences, Congqing University, Chongqing, 400044, China (e-mail: 00900470r@polyu.edu.hk)CN
  2. 2.Department of Management, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong (email: mshyan@polyu.edu.hk)HK
  3. 3.Institute of Systems Science, Chinese Academy of Science, Beijing 100080, China (email: chengy@mail.amss.ac.cn)CN

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