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Further Discussion on the Error Bound for Generalized Linear Complementarity Problem over a Polyhedral Cone

Author

Listed:
  • Hongchun Sun

    (Linyi University)

  • Yiju Wang

    (Qufu Normal University)

Abstract

In this paper, we consider the global error bound for the generalized linear complementarity problem over a polyhedral cone (GLCP). Based on the new transformation of the problem, we establish its global error bound under milder conditions, which improves the result obtained by Sun and Wang (2009) for GLCP by weakening the assumption.

Suggested Citation

  • Hongchun Sun & Yiju Wang, 2013. "Further Discussion on the Error Bound for Generalized Linear Complementarity Problem over a Polyhedral Cone," Journal of Optimization Theory and Applications, Springer, vol. 159(1), pages 93-107, October.
    • Handle: RePEc:spr:joptap:v:159:y:2013:i:1:d:10.1007_s10957-013-0290-z
    DOI: 10.1007/s10957-013-0290-z
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    References listed on IDEAS

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    1. N. H. Xiu & J. Z. Zhang, 2002. "Global Projection-Type Error Bounds for General Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 112(1), pages 213-228, January.
    2. H. C. Sun & Y. J. Wang & L. Q. Qi, 2009. "Global Error Bound for the Generalized Linear Complementarity Problem over a Polyhedral Cone," Journal of Optimization Theory and Applications, Springer, vol. 142(2), pages 417-429, August.
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    Cited by:

    1. Yisheng Song & Wei Mei, 2018. "Structural Properties of Tensors and Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 176(2), pages 289-305, February.
    2. Tong-tong Shang & Jing Yang & Guo-ji Tang, 2022. "Generalized Polynomial Complementarity Problems over a Polyhedral Cone," Journal of Optimization Theory and Applications, Springer, vol. 192(2), pages 443-483, February.

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