Nonlinear perturbations of polyhedral normal cone mappings and affine variation al 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, th...
Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Bài viết |
| Ngôn ngữ: | English |
| Được phát hành: |
Trường Đại học Đà Lạt
2014
|
| Những chủ đề: | |
| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37435 |
| Các nhãn: |
Thêm thẻ
Không có thẻ, Là người đầu tiên thẻ bản ghi này!
|
| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
|---|
| id |
oai:scholar.dlu.edu.vn:DLU123456789-37435 |
|---|---|
| record_format |
dspace |
| spelling |
oai:scholar.dlu.edu.vn:DLU123456789-374352023-10-27T14:42:01Z Nonlinear perturbations of polyhedral normal cone mappings and affine variation al inequalities Nguyễn, Thành Quí Polyhedral normal cone mapping Nonlinear perturbation 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. Mathematics Subject Classification. 49J53, 49J52, 49J40. 2014-05-29T02:33:50Z 2014-05-29T02:33:50Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37435 en Tạp chí Khoa học Đại học Đà Lạt, số 3b;tr. 47-61 application/pdf Trường Đại học Đà Lạt |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Polyhedral normal cone mapping Nonlinear perturbation |
| spellingShingle |
Polyhedral normal cone mapping Nonlinear perturbation Nguyễn, Thành Quí Nonlinear perturbations of polyhedral normal cone mappings and affine variation al inequalities |
| description |
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.
Mathematics Subject Classification. 49J53, 49J52, 49J40. |
| format |
Article |
| author |
Nguyễn, Thành Quí |
| author_facet |
Nguyễn, Thành Quí |
| author_sort |
Nguyễn, Thành Quí |
| title |
Nonlinear perturbations of polyhedral normal cone mappings and affine variation al inequalities |
| title_short |
Nonlinear perturbations of polyhedral normal cone mappings and affine variation al inequalities |
| title_full |
Nonlinear perturbations of polyhedral normal cone mappings and affine variation al inequalities |
| title_fullStr |
Nonlinear perturbations of polyhedral normal cone mappings and affine variation al inequalities |
| title_full_unstemmed |
Nonlinear perturbations of polyhedral normal cone mappings and affine variation al inequalities |
| title_sort |
nonlinear perturbations of polyhedral normal cone mappings and affine variation al inequalities |
| publisher |
Trường Đại học Đà Lạt |
| publishDate |
2014 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37435 |
| _version_ |
1819806263981113344 |