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Some Exact Penalty Results for Nonlinear Programs and Mathematical Programs with Equilibrium Constraints

Author

Listed:
  • G.H. Lin

    (Kyoto University
    Dalian University of Technology)

  • M. Fukushima

    (Kyoto University)

Abstract

Recently, some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints were proved by Luo, Pang, and Ralph (Ref. 1). In this paper, we show that those results remain valid under some other mild conditions. One of these conditions, called strong convexity with order σ, is discussed in detail.

Suggested Citation

  • G.H. Lin & M. Fukushima, 2003. "Some Exact Penalty Results for Nonlinear Programs and Mathematical Programs with Equilibrium Constraints," Journal of Optimization Theory and Applications, Springer, vol. 118(1), pages 67-80, July.
    • Handle: RePEc:spr:joptap:v:118:y:2003:i:1:d:10.1023_a:1024787424532
    DOI: 10.1023/A:1024787424532
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    Cited by:

    1. Hoai An Thi & Thi Minh Tam Nguyen & Tao Pham Dinh, 2023. "On solving difference of convex functions programs with linear complementarity constraints," Computational Optimization and Applications, Springer, vol. 86(1), pages 163-197, September.
    2. Bandar B. Mohsen & Muhammad Aslam Noor & Khalida Inayat Noor & Mihai Postolache, 2019. "Strongly Convex Functions of Higher Order Involving Bifunction," Mathematics, MDPI, vol. 7(11), pages 1-12, November.
    3. Bhuwan Chandra Joshi & Murari Kumar Roy & Abdelouahed Hamdi, 2024. "On Semi-Infinite Optimization Problems with Vanishing Constraints Involving Interval-Valued Functions," Mathematics, MDPI, vol. 12(7), pages 1-19, March.
    4. Hugo Leiva & Nelson Merentes & Kazimierz Nikodem & José Sánchez, 2013. "Strongly convex set-valued maps," Journal of Global Optimization, Springer, vol. 57(3), pages 695-705, November.
    5. Jia Wu & Liwei Zhang & Yi Zhang, 2013. "A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations," Journal of Global Optimization, Springer, vol. 55(2), pages 359-385, February.
    6. Lv, Si & Wei, Zhinong & Chen, Sheng & Sun, Guoqiang & Wang, Dan, 2021. "Integrated demand response for congestion alleviation in coupled power and transportation networks," Applied Energy, Elsevier, vol. 283(C).

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