Minimum and Maximum Principle Sufficiency for a Nonsmooth Variational Inequality

Zili Wu, Yun Lu

Research output: Journal PublicationArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, the minimum and maximum principle sufficiency properties for a nonsmooth variational inequality problem (NVIP) are studied. We discuss the relationship among the solution set of an NVIP and those defined by its dual problem and relevant gap functions. For a pseudomonotone NVIP, the weaker sharpness of its solution set has been shown to be sufficient for it to have minimum principle sufficiency property. As special cases, pseudomonotonicity and pseudomonotonicity+ of the relevant bifunction have been characterized, from which the minimum and maximum principle sufficiency properties have also been characterized.

Original languageEnglish
Pages (from-to)1233-1257
Number of pages25
JournalBulletin of the Malaysian Mathematical Sciences Society
Volume44
Issue number3
DOIs
Publication statusPublished - May 2021

Keywords

  • Maximum principle sufficiency property
  • Minimum principle sufficiency property
  • Nonsmooth variational inequality problem
  • Weaker sharpness

ASJC Scopus subject areas

  • General Mathematics

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