Abstract
We consider some classes of generalized gap functions for two kinds of generalized variational inequality problems. We obtain error bounds for the underlying variational inequalities using the generalized gap functions under the condition that the involved mapping F is g-strongly monotone with respect to the solution, but not necessarily continuous differentiable, even not locally Lipschitz.
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(Communicated by Xie-ping DING)
Project supported by the National Natural Science Foundation of China (No. 10671050) and the Natural Science Foundation of Heilongjiang Province of China (No. A200607)
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Hu, Yh., Song, W. Generalized gap functions and error bounds for generalized variational inequalities. Appl. Math. Mech.-Engl. Ed. 30, 313–321 (2009). https://doi.org/10.1007/s10483-009-0305-x
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DOI: https://doi.org/10.1007/s10483-009-0305-x