A NEW PROOF OF CLARKE'S THEOREM
In this paper, we give a new proof of the theorem of Clarke on Fritz John optimality conditions for nonsmooth optimisation problems involving locally Lipschitz functions.
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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 |
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| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/205 |
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| _version_ | 1832574158766080000 |
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| author | Gue Myung Lee Phạm Tiến Sơn |
| author_facet | Gue Myung Lee Phạm Tiến Sơn |
| author_sort | Gue Myung Lee |
| collection | DOAJ |
| description | In this paper, we give a new proof of the theorem of Clarke on Fritz John optimality conditions for nonsmooth optimisation problems involving locally Lipschitz functions. |
| format | Article |
| id | doaj-art-451319d7acd443188c88fed22aa139e8 |
| institution | Kabale University |
| issn | 0866-787X |
| language | English |
| publishDate | 2012-09-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-451319d7acd443188c88fed22aa139e82025-02-02T00:30:58ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-09-012310.37569/DalatUniversity.2.3.205(2012)A NEW PROOF OF CLARKE'S THEOREMGue Myung Lee0Phạm Tiến Sơn1Department of Applied Mathematics, Pukyong National University, KoreaDepartment of Mathematics, Dalat UniversityIn this paper, we give a new proof of the theorem of Clarke on Fritz John optimality conditions for nonsmooth optimisation problems involving locally Lipschitz functions.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/205Lagrange multipliersLocally Lipschitz functionsGeneralised gradientsNecessary optimality conditions |
| spellingShingle | Gue Myung Lee Phạm Tiến Sơn A NEW PROOF OF CLARKE'S THEOREM Tạp chí Khoa học Đại học Đà Lạt Lagrange multipliers Locally Lipschitz functions Generalised gradients Necessary optimality conditions |
| title | A NEW PROOF OF CLARKE'S THEOREM |
| title_full | A NEW PROOF OF CLARKE'S THEOREM |
| title_fullStr | A NEW PROOF OF CLARKE'S THEOREM |
| title_full_unstemmed | A NEW PROOF OF CLARKE'S THEOREM |
| title_short | A NEW PROOF OF CLARKE'S THEOREM |
| title_sort | new proof of clarke s theorem |
| topic | Lagrange multipliers Locally Lipschitz functions Generalised gradients Necessary optimality conditions |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/205 |
| work_keys_str_mv | AT guemyunglee anewproofofclarkestheorem AT phamtienson anewproofofclarkestheorem AT guemyunglee newproofofclarkestheorem AT phamtienson newproofofclarkestheorem |