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

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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.

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References

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Authors and Affiliations

  1. Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, Japan

    G.H. Lin (PhD Student) & M. Fukushima (Professor, Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto, Japan)

  2. Department of Applied Mathematics, Dalian University of Technology, Dalian, China

    G.H. Lin (PhD Student)

Authors
  1. G.H. Lin
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  2. M. Fukushima
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Lin, G., Fukushima, M. Some Exact Penalty Results for Nonlinear Programs and Mathematical Programs with Equilibrium Constraints. Journal of Optimization Theory and Applications 118, 67–80 (2003). https://doi.org/10.1023/A:1024787424532

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  • DOI: https://doi.org/10.1023/A:1024787424532

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