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Well-Posedness by Perturbations for Variational-Hemivariational Inequalities

Author

Listed:
  • Shu Lv
  • Yi-bin Xiao
  • Zhi-bin Liu
  • Xue-song Li

Abstract

We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational-hemivariational inequality and prove their equivalence between the well-posedness by perturbations for the variational-hemivariational inequality and the well-posedness by perturbations for the corresponding inclusion problem.

Suggested Citation

  • Shu Lv & Yi-bin Xiao & Zhi-bin Liu & Xue-song Li, 2012. "Well-Posedness by Perturbations for Variational-Hemivariational Inequalities," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, August.
    • Handle: RePEc:hin:jnljam:804032
    DOI: 10.1155/2012/804032
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    Cited by:

    1. Savin Treanţă, 2022. "Well-Posedness Results of Certain Variational Inequalities," Mathematics, MDPI, vol. 10(20), pages 1-15, October.

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