Differential and sensitivity properties of gap functions for vector variational inequalities

S. J. Li, Hong Yan, G. Y. Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

38 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)377-391
Number of pages15
JournalMathematical Methods of Operations Research
Volume57
Issue number3
DOIs
Publication statusPublished - 1 Jan 2003

Keywords

  • Contingent derivative
  • Gap function
  • Vector variational inequalities

ASJC Scopus subject areas

  • Software
  • Mathematics(all)
  • Management Science and Operations Research

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