First and second-order optimality condit ions using approximations for vector equilibrium problems with const raints
We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalized derivatives we establish both necessary and sufficient optimality conditions. Our first-order conditions are shown to be appli...
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Trường Đại học Đà Lạt
2014
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37418 |
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oai:scholar.dlu.edu.vn:DLU123456789-374182023-10-27T14:41:57Z First and second-order optimality condit ions using approximations for vector equilibrium problems with const raints Phan, Quốc Khánh Lê, Thanh Tùng Equilibrium problems Optimality conditions We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalized derivatives we establish both necessary and sufficient optimality conditions. Our first-order conditions are shown to be applicable in many cases, where existing ones cannot be applied. The second-order conditions are new. Mathematics Subject Classification. 90C46, 91B50. 2014-05-28T03:45:29Z 2014-05-28T03:45:29Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37418 en Tạp chí Khoa học Đại học Đà Lạt, số 3b;tr. 1-7 application/pdf Trường Đại học Đà Lạt |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Equilibrium problems Optimality conditions |
| spellingShingle |
Equilibrium problems Optimality conditions Phan, Quốc Khánh Lê, Thanh Tùng First and second-order optimality condit ions using approximations for vector equilibrium problems with const raints |
| description |
We consider various kinds of solutions to nonsmooth vector equilibrium
problems with functional constraints. By using first and second-order approximations
as generalized derivatives we establish both necessary and sufficient optimality conditions.
Our first-order conditions are shown to be applicable in many cases, where
existing ones cannot be applied. The second-order conditions are new. Mathematics Subject Classification. 90C46, 91B50. |
| format |
Article |
| author |
Phan, Quốc Khánh Lê, Thanh Tùng |
| author_facet |
Phan, Quốc Khánh Lê, Thanh Tùng |
| author_sort |
Phan, Quốc Khánh |
| title |
First and second-order optimality condit ions using approximations for vector equilibrium problems with const raints |
| title_short |
First and second-order optimality condit ions using approximations for vector equilibrium problems with const raints |
| title_full |
First and second-order optimality condit ions using approximations for vector equilibrium problems with const raints |
| title_fullStr |
First and second-order optimality condit ions using approximations for vector equilibrium problems with const raints |
| title_full_unstemmed |
First and second-order optimality condit ions using approximations for vector equilibrium problems with const raints |
| title_sort |
first and second-order optimality condit ions using approximations for vector equilibrium problems with const raints |
| publisher |
Trường Đại học Đà Lạt |
| publishDate |
2014 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37418 |
| _version_ |
1781719004530868224 |