Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1713668 | Nonlinear Analysis: Hybrid Systems | 2010 | 9 Pages |
Abstract
We study nonsmooth general variational inequalities where the underlying functions admit the HH-differentiability but are not necessarily locally Lipschitzian nor directionally differentiable, and the underlying set is a closed convex set/polyhedral set/box/polyhedral cone. We give some sufficient conditions to guarantee the local uniqueness of solutions to nonsmooth general variational inequalities. Also, we show how the solution of a linearized general variational inequality is related to the solution of the general variational inequality. When specialized to the classical variational inequality and nonlinear complementarity problems, our results extend/unify various similar results proved for C1C1 and locally Lipschitzian.
Related Topics
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Authors
M.A. Tawhid,