NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES
This paper establishes an upper estimate for the Frechet 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 r...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
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Dalat University
2012-09-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
| Subjects: | |
| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/208 |
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| Summary: | This paper establishes an upper estimate for the Frechet 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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| ISSN: | 0866-787X |