Constraint Qualifications and Proper Pareto Optimality Conditions for Multiobjective Problems with Equilibrium Constraints

Peng Zhang, Jin ZHANG, Gui Hua Lin*, Xinmin Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this paper, we consider a class of multiobjective problems with equilibrium constraints. Our first task is to extend the existing constraint qualifications for mathematical problems with equilibrium constraints from the single-objective case to the multiobjective case, and our second task is to derive some stationarity conditions under the proper Pareto sense for the considered problem. After doing that, we devote ourselves to investigating the relationships among the extended constraint qualifications and the proper Pareto stationarity conditions.

Original languageEnglish
Pages (from-to)763-782
Number of pages20
JournalJournal of Optimization Theory and Applications
Volume176
Issue number3
DOIs
Publication statusPublished - 1 Mar 2018

Scopus Subject Areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

User-Defined Keywords

  • Constraint qualification
  • Multiobjective problem with equilibrium constraints
  • Proper Pareto stationarity condition

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