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Degree theory for generalized variational inequalities and applications

Author

Listed:
  • Kien, B.T.
  • Wong, M.-M.
  • Wong, N.C.
  • Yao, J.C.

Abstract

In this paper, a degree theory for finite dimensional generalized variational inequalities is built and employed to prove some results on solution existence and solution stability.

Suggested Citation

  • Kien, B.T. & Wong, M.-M. & Wong, N.C. & Yao, J.C., 2009. "Degree theory for generalized variational inequalities and applications," European Journal of Operational Research, Elsevier, vol. 192(3), pages 730-736, February.
    • Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:730-736
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    References listed on IDEAS

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    1. D. Aussel & N. Hadjisavvas, 2004. "On Quasimonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 121(2), pages 445-450, May.
    2. Alexander Shapiro, 2005. "Sensitivity Analysis of Parameterized Variational Inequalities," Mathematics of Operations Research, INFORMS, vol. 30(1), pages 109-126, February.
    3. N. D. Yen, 1995. "Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint," Mathematics of Operations Research, INFORMS, vol. 20(3), pages 695-708, August.
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    Cited by:

    1. Ren-you Zhong & Zhen Dou & Jiang-hua Fan, 2015. "Degree Theory and Solution Existence of Set-Valued Vector Variational Inequalities in Reflexive Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 167(2), pages 527-549, November.
    2. Zhong Wang & Nan Huang, 2011. "Degree theory for a generalized set-valued variational inequality with an application in Banach spaces," Journal of Global Optimization, Springer, vol. 49(2), pages 343-357, February.
    3. Zhong-bao Wang & Yi-bin Xiao & Zhang-you Chen, 2020. "Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications," Journal of Optimization Theory and Applications, Springer, vol. 187(1), pages 43-64, October.

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