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Multivalued Tikhonov Trajectories of General Affine Variational Inequalities

Author

Listed:
  • N. T. T. Huong

    (Le Qui Don University)

  • P. D. Khanh

    (University of Pedagogy of Ho Chi Minh City)

  • N. D. Yen

    (Vietnam Academy of Science and Technology)

Abstract

The Tikhonov trajectory of a general, not necessarily monotone, affine variational inequality is analyzed via the basic properties like single-valuedness, finite-valuedness, continuity, and convergence. We study the multivalued trajectory, which is obtained, by the Tikhonov regularization method, on the whole interval of positive parameters.

Suggested Citation

  • N. T. T. Huong & P. D. Khanh & N. D. Yen, 2013. "Multivalued Tikhonov Trajectories of General Affine Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 158(1), pages 85-96, July.
    • Handle: RePEc:spr:joptap:v:158:y:2013:i:1:d:10.1007_s10957-012-0226-z
    DOI: 10.1007/s10957-012-0226-z
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    References listed on IDEAS

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    1. N. N. Tam & J. C. Yao & N. D. Yen, 2008. "Solution Methods for Pseudomonotone Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 138(2), pages 253-273, August.
    2. 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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