Weak sharpness for gap functions in vector variational inequalities

N. J. Huang, J. Li, Xiaoqi Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

In this paper, characterizations of the set of solutions for VVI are presented by using scalarization approaches. The set of solutions of VVI is shown to be the set of weak sharpness for gap functions of some scalarization of VVI and for gap functions of VVI under semi-strong monotonicity. Some examples are given to illustrate these results.
Original languageEnglish
Pages (from-to)449-457
Number of pages9
JournalJournal of Mathematical Analysis and Applications
Volume394
Issue number2
DOIs
Publication statusPublished - 15 Oct 2012

Keywords

  • Gap function
  • Scalarization
  • Semi-strong monotonicity
  • Vector variational inequality
  • Weak sharpness

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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