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Smoothing partial exact penalty splitting method for mathematical programs with equilibrium constraints

Author

Listed:
  • Suhong Jiang

    (Nanjing University)

  • Jin Zhang

    (Hong Kong Baptist University)

  • Caihua Chen

    (Nanjing University)

  • Guihua Lin

    (Shanghai University)

Abstract

Mathematical program with equilibrium constraints (MPEC) is an important problem in mathematical programming as it arises frequently in a broad spectrum of fields. In this paper, we propose an implementable smoothing partial exact penalty method to solve MPEC, where the subproblems are solved inexactly by the proximal alternating linearized minimization method. Under the extend MPEC-NNAMCQ, the proposed method is shown to be convergent to an M-stationary point of the MPEC.

Suggested Citation

  • Suhong Jiang & Jin Zhang & Caihua Chen & Guihua Lin, 2018. "Smoothing partial exact penalty splitting method for mathematical programs with equilibrium constraints," Journal of Global Optimization, Springer, vol. 70(1), pages 223-236, January.
    • Handle: RePEc:spr:jglopt:v:70:y:2018:i:1:d:10.1007_s10898-017-0539-4
    DOI: 10.1007/s10898-017-0539-4
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    References listed on IDEAS

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