Chapter

Variational Analysis and Applications

Volume 79 of the series Nonconvex Optimization and Its Applications pp 605-631

Properties of Gap Function for Vector Variational Inequality

  • S. J. LiAffiliated withDepartment of Information and Computer Sciences, College of Sciences, Chongqing University
  • , G. Y. ChenAffiliated withInstitute of Systems Science, Chinese Academy of Sciences

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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