Generalized gap functions and error bounds for generalized variational inequalities |
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Authors: | Yan-hong Hu Wen Song |
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Affiliation: | 1. Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China;2. Department of Mathematics, Harbin Normal University, Harbin 150080, P. R. China |
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Abstract: | We consider some classes of generalized gap functions for two kinds of gen-eralized variational inequality problems. We obtain error bounds for the underlying vari-ational inequalities using the generalized gap functions under the condition that the in-volved mapping F is g-strongly monotone with respect to the solution, but not necessarily continuous differentiable, even not locally Lipschitz. |
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Keywords: | variational inequality gap functions error bounds |
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