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On Parametric Generalized Quasi-Variational Inequalities

Author

Listed:
  • X. P. Ding

    (Sichuan Normal University, Chengdu)

  • C. L. Luo

    (Kangding Teacher's College)

Abstract

In this paper, by using the projection method of Dafermos (Ref. 1), we study the behavior and sensitivity analysis of the solution set for a class of parametric generalized quasi-variational inequalities. Our approach and results are new and have a strong geometric flavor.

Suggested Citation

  • X. P. Ding & C. L. Luo, 1999. "On Parametric Generalized Quasi-Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 100(1), pages 195-205, January.
  • Handle: RePEc:spr:joptap:v:100:y:1999:i:1:d:10.1023_a:1021777217261
    DOI: 10.1023/A:1021777217261
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    References listed on IDEAS

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    1. Stella Dafermos, 1988. "Sensitivity Analysis in Variational Inequalities," Mathematics of Operations Research, INFORMS, vol. 13(3), pages 421-434, August.
    2. 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. R. U. Verma, 2006. "A-Monotonicity and Its Role in Nonlinear Variational Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 129(3), pages 457-467, June.

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