Jiaping Zhu

McMaster University, Hamilton, Ontario, Canada

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Publications (2)2.35 Total impact

  • Guoshan Liu · Jane Ye · Jiaping Zhu
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    ABSTRACT: It is well known that mathematical programs with equilibrium constraints (MPEC) violate the standard constraint qualifications such as Mangasarian–Fromovitz constraint qualification (MFCQ) and hence the usual Karush–Kuhn–Tucker conditions cannot be used as stationary conditions unless relatively strong assumptions are satisfied. This observation has led to a number of weaker stationary conditions, with Mordukhovich stationary (M-stationary) condition being the strongest among the weaker conditions. In nonlinear programming, it is known that MFCQ leads to an exact penalization. In this paper we show that MPEC GMFCQ, an MPEC variant of MFCQ, leads to a partial exact penalty where all the constraints except a simple linear complementarity constraint are moved to the objective function. The partial exact penalty function, however, is nonsmooth. By smoothing the partial exact penalty function, we design an algorithm which is shown to be globally convergent to an M-stationary point under an extended version of the MPEC GMFCQ.
    No preview · Article · Dec 2008 · Set-Valued Analysis
  • Source
    Tamás Terlaky · Jiaping Zhu
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    ABSTRACT: Yu and Liu’s strong duality theorem under the time-sharing property requires additionally the Slater regularity condition to hold for the considered general nonconvex problem, which is naturally satisfied for the specific application. We further extend the scope of the theorem under Ky Fan convexity, which is slightly weaker than Yu and Lui’s time-sharing property.
    Full-text · Article · Aug 2008 · Optimization Letters

Publication Stats

58 Citations
2.35 Total Impact Points


  • 2008
    • McMaster University
      • Department of Computing and Software
      Hamilton, Ontario, Canada