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Hadamard well-posedness of a general mixed variational inequality in Banach space

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  • Xiao-bo Li
  • Fu-quan Xia

Abstract

In this paper, we first introduce the concept of Hadamard well-posedness of a general mixed variational inequality in Banach space. Under some suitable conditions, relations between Levitin–Polyak well-posedness and Hadamard well-posedness of a general mixed variational inequality are studied. We also establish some characterizations of Hadamard well-posedness for a genaral mixed variational inequality. Finally, we derive some conditions under which a general mixed variational inequality is Hadamard well-posed. Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Xiao-bo Li & Fu-quan Xia, 2013. "Hadamard well-posedness of a general mixed variational inequality in Banach space," Journal of Global Optimization, Springer, vol. 56(4), pages 1617-1629, August.
    • Handle: RePEc:spr:jglopt:v:56:y:2013:i:4:p:1617-1629
    DOI: 10.1007/s10898-012-9916-1
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    References listed on IDEAS

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    1. X. M. Yang & X. Q. Yang & K. L. Teo, 2004. "Some Remarks on the Minty Vector Variational Inequality," Journal of Optimization Theory and Applications, Springer, vol. 121(1), pages 193-201, April.
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