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An extragradient algorithm for solving bilevel pseudomonotone variational inequalities

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  • P. Anh
  • J. Kim
  • L. Muu

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Suggested Citation

  • P. Anh & J. Kim & L. Muu, 2012. "An extragradient algorithm for solving bilevel pseudomonotone variational inequalities," Journal of Global Optimization, Springer, vol. 52(3), pages 627-639, March.
    • Handle: RePEc:spr:jglopt:v:52:y:2012:i:3:p:627-639
    DOI: 10.1007/s10898-012-9870-y
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    References listed on IDEAS

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    1. Abdellatif Moudafi, 2010. "Proximal methods for a class of bilevel monotone equilibrium problems," Journal of Global Optimization, Springer, vol. 47(2), pages 287-292, June.
    2. P. N. Anh & L. D. Muu & V. H. Nguyen & J. J. Strodiot, 2005. "Using the Banach Contraction Principle to Implement the Proximal Point Method for Multivalued Monotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 285-306, February.
    3. I. Konnov & D. Dyabilkin, 2011. "Nonmonotone equilibrium problems: coercivity conditions and weak regularization," Journal of Global Optimization, Springer, vol. 49(4), pages 575-587, April.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Seifu Endris Yimer & Poom Kumam & Anteneh Getachew Gebrie & Rabian Wangkeeree, 2019. "Inertial Method for Bilevel Variational Inequality Problems with Fixed Point and Minimizer Point Constraints," Mathematics, MDPI, vol. 7(9), pages 1-21, September.

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    More about this item

    Keywords

    Bilevel variational inequality; Pseudomonotonicity; Lipschitz continuity; Global convergence; Extragradient algorithm; 65 K10; 90 C25;
    All these keywords.

    JEL classification:

    • K10 - Law and Economics - - Basic Areas of Law - - - General (Constitutional Law)
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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