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Hölder Continuity of a Parametric Generalized Variational Inequality

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  • Li-na Wang
  • Xiao-bing Li

Abstract

By using the classic metric projection method, we obtain sufficient conditions for Hölder continuity of the nonunique solution mapping for a parametric generalized variational inequality with respect to data perturbation. The result is different from the recent ones in the literature and has a strong geometric flavor.

Suggested Citation

  • Li-na Wang & Xiao-bing Li, 2014. "Hölder Continuity of a Parametric Generalized Variational Inequality," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:613716
    DOI: 10.1155/2014/613716
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    References listed on IDEAS

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    1. 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.
    2. Stella Dafermos, 1988. "Sensitivity Analysis in Variational Inequalities," Mathematics of Operations Research, INFORMS, vol. 13(3), pages 421-434, August.
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