Farkas-type results for nonconvex systems involving composite functions with applications
A new kind of closednesa conditions (CC) is introduced. Several Farkastype results and their characterizations for nonconvex systems involving DC and composite functions are established under/via this condition. As applications, the results are applied to get optimality conditions, duality result...
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Trường Đại học Đà Lạt
2012
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oai:scholar.dlu.edu.vn:DLU123456789-310642023-10-27T14:41:41Z Farkas-type results for nonconvex systems involving composite functions with applications Nguyễn, Định Trần, Hồng Mơ Alternative theorems FarIas-type results for nonconvex systems DC optimization problems Toland-Fencbel-Lagrange duality A new kind of closednesa conditions (CC) is introduced. Several Farkastype results and their characterizations for nonconvex systems involving DC and composite functions are established under/via this condition. As applications, the results are applied to get optimality conditions, duality results for classes of DC/convex problems. Mathematics Subject Classification. Primary: 90C48, 90C46; Secondary: 49N15, 90C25. 2012-06-18T06:39:21Z 2012-06-18T06:39:21Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31064 en Tạp chí Khoa học Đại học Đà Lạt, số 3a;tr. 32-40 application/pdf Trường Đại học Đà Lạt |
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Thư viện Trường Đại học Đà Lạt |
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Thư viện số |
language |
English |
topic |
Alternative theorems FarIas-type results for nonconvex systems DC optimization problems Toland-Fencbel-Lagrange duality |
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Alternative theorems FarIas-type results for nonconvex systems DC optimization problems Toland-Fencbel-Lagrange duality Nguyễn, Định Trần, Hồng Mơ Farkas-type results for nonconvex systems involving composite functions with applications |
description |
A new kind of closednesa conditions (CC) is introduced. Several Farkastype
results and their characterizations for nonconvex systems involving DC and
composite functions are established under/via this condition. As applications, the results
are applied to get optimality conditions, duality results for classes of DC/convex
problems.
Mathematics Subject Classification. Primary: 90C48, 90C46; Secondary: 49N15,
90C25. |
format |
Article |
author |
Nguyễn, Định Trần, Hồng Mơ |
author_facet |
Nguyễn, Định Trần, Hồng Mơ |
author_sort |
Nguyễn, Định |
title |
Farkas-type results for nonconvex systems involving composite functions with applications |
title_short |
Farkas-type results for nonconvex systems involving composite functions with applications |
title_full |
Farkas-type results for nonconvex systems involving composite functions with applications |
title_fullStr |
Farkas-type results for nonconvex systems involving composite functions with applications |
title_full_unstemmed |
Farkas-type results for nonconvex systems involving composite functions with applications |
title_sort |
farkas-type results for nonconvex systems involving composite functions with applications |
publisher |
Trường Đại học Đà Lạt |
publishDate |
2012 |
url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/31064 |
_version_ |
1781719034294697984 |