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On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations

Author

Listed:
  • Zhou Wei

    (Yunnan University)

  • Jen-Chih Yao

    (China Medical University
    Kaohsiung Medical University)

Abstract

In this paper, we study several types of basic constraint qualifications in terms of Clarke/Fréchet coderivatives for generalized equations. Several necessary and/or sufficient conditions are given to ensure these constraint qualifications. It is proved that basic constraint qualification and strong basic constraint qualification for convex generalized equations can be obtained by these constraint qualifications, and the existing results on constraint qualifications for the inequality system can be deduced from the given conditions in this paper. The main work of this paper is an extension of the study on constraint qualifications from inequality systems to generalized equations.

Suggested Citation

  • Zhou Wei & Jen-Chih Yao, 2018. "On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations," Journal of Optimization Theory and Applications, Springer, vol. 177(1), pages 106-126, April.
    • Handle: RePEc:spr:joptap:v:177:y:2018:i:1:d:10.1007_s10957-018-1231-7
    DOI: 10.1007/s10957-018-1231-7
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    References listed on IDEAS

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    1. Hui Hu, 2005. "Characterizations of the Strong Basic Constraint Qualifications," Mathematics of Operations Research, INFORMS, vol. 30(4), pages 956-965, November.
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