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Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities
Authors:Nguyen Mau Nam
Institution:
  • Department of Mathematics, The University of Texas-Pan American, Edinburg, TX 78539-2999, USA
  • Abstract:In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings. This allows us to derive necessary and sufficient conditions for the Lipschitzian stability of parametric variational inequalities in reflexive Banach spaces. Our development not only gives an answer to the open questions raised in Yao and Yen (2009) 11], but also establishes generalizations and complements of the results given in Henrion et al. (2010) 4] and Yao and Yen (2009) 11] and 12].
    Keywords:49J52  49K40  58C20
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