D-Gap Functions for Nonsmooth Variational Inequality Problems

K. F. Ng and L. L. Tan ()
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K. F. Ng: Chinese University of Hong Kong
L. L. Tan: Chinese University of Hong Kong

Journal of Optimization Theory and Applications, 2007, vol. 133, issue 1, No 6, 77-97

Abstract: Abstract We study the Clarke generalized gradient of the D-gap functions for the variational inequality problem (VIP) defined by a locally Lipschitz, but not necessarily differentiable, function in an Euclidean space. Using these results, we study the relationship between minimizing sequences and stationary sequences of the D-gap function, regardless of the existence of solutions of (VIP).

Keywords: Variational inequality problems; D-gap functions; Minimizing sequences; Stationary sequences (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10957-007-9193-1

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