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

M. H. Li () and S. J. Li ()
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M. H. Li: Chongqing University
S. J. Li: Chongqing University

Journal of Optimization Theory and Applications, 2010, vol. 144, issue 1, No 7, 76-87

Abstract: 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.

Keywords: Second-order contingent derivative; Sensitivity; Gap function; Weak vector variational inequalities (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10957-009-9592-6

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