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Second-Order Differential and Sensitivity Properties of Weak Vector Variational Inequalities

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Abstract

In this paper, by using the second-order contingent derivative, second-order differential properties of a class of set-valued maps are investigated and an explicit expression of the second-order contingent derivatives is obtained. Then, by means of a gap function, second-order sensitivity properties are discussed for a weak vector variational inequality.

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Authors and Affiliations

  1. College of Mathematics and Science, Chongqing University, Chongqing, 400044, China

    M. H. Li & S. J. Li

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  1. M. H. Li
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  2. S. J. Li
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Correspondence to S. J. Li.

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Communicated by F. Giannessi

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Li, M.H., Li, S.J. Second-Order Differential and Sensitivity Properties of Weak Vector Variational Inequalities. J Optim Theory Appl 144, 76–87 (2010). https://doi.org/10.1007/s10957-009-9592-6

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  • DOI: https://doi.org/10.1007/s10957-009-9592-6

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