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Global Projection-Type Error Bounds for General Variational Inequalities

Author

Listed:
  • N. H. Xiu

    (Northern Jiaotong University)

  • J. Z. Zhang

    (City University of Hong Kong)

Abstract

In this paper, we provide global projection-type error bounds for general variational inequalities under certain conditions. These error bounds can be viewed as extensions of previously known results.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:112:y:2002:i:1:d:10.1023_a:1013056931761
    DOI: 10.1023/A:1013056931761
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    References listed on IDEAS

    as
    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. B. Chen, 2001. "Error Bounds for R0-Type and Monotone Nonlinear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 108(2), pages 297-316, February.
    3. M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
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    Cited by:

    1. M. Li & L. Z. Liao & X. M. Yuan, 2009. "Proximal Point Algorithms for General Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 142(1), pages 125-145, July.
    2. Xu Zhang & Cailian Li & Longcheng Zhang & Yaling Hu & Zheng Peng, 2024. "Convergence-Accelerated Fixed-Time Dynamical Methods for Absolute Value Equations," Journal of Optimization Theory and Applications, Springer, vol. 203(1), pages 600-628, October.
    3. 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.

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