D-Gap Functions for Nonsmooth Variational Inequality Problems |
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| Authors: | K. F. Ng L. L. Tan |
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| Affiliation: | (1) Department of Mathematics, Chinese University of Hong Kong, Shatin, New Territories, Hong Kong |
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| 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). |
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| Keywords: | Variational inequality problems D-gap functions Minimizing sequences Stationary sequences |
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