Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities |
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Authors: | Email author" target="_blank">Nguyen?Thanh?QuiEmail author |
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Institution: | 1.College of Information and Communication Technology,Can Tho University,Can Tho,Viet Nam |
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Abstract: | This paper establishes an upper estimate for the Fréchet normal cone to the graph of the nonlinearly perturbed polyhedral
normal cone mappings in finite dimensional spaces. Under a positive linear independence assumption on the normal vectors of
the active constraints at the point in question, the result leads to an upper estimate for values of the Mordukhovich coderivative
of such mappings. On the basis, new results on solution stability of parametric affine variational inequalities under nonlinear
perturbations are derived. |
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