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An aggregate deformation homotopy method for min-max-min problems with max-min constraints

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  • Hui-juan Xiong
  • Bo Yu

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  • Hui-juan Xiong & Bo Yu, 2010. "An aggregate deformation homotopy method for min-max-min problems with max-min constraints," Computational Optimization and Applications, Springer, vol. 47(3), pages 501-527, November.
    • Handle: RePEc:spr:coopap:v:47:y:2010:i:3:p:501-527
    DOI: 10.1007/s10589-008-9229-y
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    References listed on IDEAS

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    1. E. Polak & J. O. Royset, 2003. "Algorithms for Finite and Semi-Infinite Min–Max–Min Problems Using Adaptive Smoothing Techniques," Journal of Optimization Theory and Applications, Springer, vol. 119(3), pages 421-457, December.
    2. Guddat, Jurgen & Vazquez, Francisco Guerra & Nowack, Dieter & Ruckmann, Jan-J., 2006. "A modified standard embedding with jumps in nonlinear optimization," European Journal of Operational Research, Elsevier, vol. 169(3), pages 1185-1206, March.
    3. A. Astorino & M. Gaudioso, 2002. "Polyhedral Separability Through Successive LP," Journal of Optimization Theory and Applications, Springer, vol. 112(2), pages 265-293, February.
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    Cited by:

    1. Yan-Chao Liang & Gui-Hua Lin, 2012. "Stationarity Conditions and Their Reformulations for Mathematical Programs with Vertical Complementarity Constraints," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 54-70, July.
    2. Li Yang & Bo Yu & YanXi Li, 2015. "A homotopy method based on penalty function for nonlinear semidefinite programming," Journal of Global Optimization, Springer, vol. 63(1), pages 61-76, September.

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