On the Local Uniqueness of Solutions of Variational Inequalities Under H-Differentiability |
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Authors: | MA Tawhid |
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Institution: | (1) Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt |
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Abstract: | In this paper, we give some sufficient conditions for the local uniqueness of solutions to nonsmooth variational inequalities where the underlying functions are H-differentiable and the underlying set is a closed convex set/polyhedral set/box/polyhedral cone. We show how the solution of a linearized variational inequality is related to the solution of the variational inequality. These results extend/unify various similar results proved for C
1 and locally Lipschitzian variational inequality problems. When specialized to the nonlinear complementarity problem, our results extend/unify those of C
2 and C
1 nonlinear complementarity problems. |
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Keywords: | Variational inequality problems local uniqueness of solutions H-differentiability H-differentials |
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