Skip to main content
Log in

A class of constraint qualifications in nonsmooth optimization

  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

In this paper, we give a generalized Abadie constraint qualification (CQ) for a class of nonsmooth vector‐valued optimization. Under this CQ, we obtained the Kuhn‐Tucker‐typeoptimality condition where the multipliers associated with the objective functions are all positive.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T. Maeda, Constraint qualifications in multiobjective optimazation problems: Differential case, JOTA 80(1994)483-500.

    Article  Google Scholar 

  2. B.M. Glover, V. Jeyakumar and W. Oettli, A Farkas lemma for difference sublinear systems and quasidifferentiable programming, Mathematical Programming 63(1994)109-126.

    Article  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tian, G., Li, X. & Zhao, T. A class of constraint qualifications in nonsmooth optimization. Annals of Operations Research 87, 383–391 (1999). https://doi.org/10.1023/A:1018953607589

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018953607589

Keywords

Navigation