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A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone

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  • Hongchun Sun
  • Yiju Wang

Abstract

We revisit the global error bound for the generalized nonlinear complementarity problem over a polyhedral cone (GNCP). By establishing a new equivalent formulation of the GNCP, we establish a sharper global error bound for the GNCP under weaker conditions, which improves the existing error bound estimation for the problem.

Suggested Citation

  • Hongchun Sun & Yiju Wang, 2013. "A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:209340
    DOI: 10.1155/2013/209340
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    References listed on IDEAS

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    1. Jong-Shi Pang, 1987. "A Posteriori Error Bounds for the Linearly-Constrained Variational Inequality Problem," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 474-484, August.
    2. Hongchun Sun & Yiju Wang, 2012. "Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-11, June.
    3. Hongchun Sun & Yiju Wang, 2012. "Global Error Bound Estimation for the Generalized Nonlinear Complementarity Problem over a Closed Convex Cone," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Hongchun Sun & Yiju Wang & Houchun Zhou & Shengjie Li, 2014. "An Improvement of Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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