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Generalized Variational Inequalities with Pseudomonotone Operators Under Perturbations

Author

Listed:
  • M. B. Lignola

    (Università di Napoli)

  • J. Morgan

    (Università di Napoli)

Abstract

Variational inequalities and generalized variational inequalities with perturbed operators and constraints are considered and convergence of solutions to such problems is proved under an assumption of pseudomonotonicity. The paper extends previous results given by the authors proved in the setting of monotone operators.

Suggested Citation

  • M. B. Lignola & J. Morgan, 1999. "Generalized Variational Inequalities with Pseudomonotone Operators Under Perturbations," Journal of Optimization Theory and Applications, Springer, vol. 101(1), pages 213-220, April.
    • Handle: RePEc:spr:joptap:v:101:y:1999:i:1:d:10.1023_a:1021783313936
    DOI: 10.1023/A:1021783313936
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    Citations

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    Cited by:

    1. Giuseppe De Marco & Jacqueline Morgan, 2007. "Slightly Altruistic Equilibria in Normal Form Games," CSEF Working Papers 185, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    2. P. Q. Khanh & L. M. Luu, 2007. "Lower Semicontinuity and Upper Semicontinuity of the Solution Sets and Approximate Solution Sets of Parametric Multivalued Quasivariational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 133(3), pages 329-339, June.
    3. D. Aussel & J. Cotrina, 2013. "Stability of Quasimonotone Variational Inequality Under Sign-Continuity," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 653-667, September.
    4. G. De Marco & J. Morgan, 2008. "Slightly Altruistic Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 347-362, May.
    5. J. Morgan & M. Romaniello, 2006. "Scalarization and Kuhn-Tucker-Like Conditions for Weak Vector Generalized Quasivariational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 130(2), pages 309-316, August.
    6. M. Beatrice Lignola & Jacqueline Morgan, 2013. "Asymptotic Behavior of Regularized OptimizationProblems with Quasi-variational Inequality Constraints," CSEF Working Papers 350, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.

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