FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS
We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalise derivatives we establish both necessary and sufficient optimality conditions. Our first-order conditions are shown to be applicabl...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Dalat University
2012-09-01
|
| Series: | Tạp chí Khoa học Đại học Đà Lạt |
| Subjects: | |
| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/202 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832574057113976832 |
|---|---|
| author | Phan Quốc Khánh Lê Thanh Tùng |
| author_facet | Phan Quốc Khánh Lê Thanh Tùng |
| author_sort | Phan Quốc Khánh |
| collection | DOAJ |
| description | We consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalise 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. |
| format | Article |
| id | doaj-art-b7214ab7a3774866861f8e75886b1cfc |
| 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-b7214ab7a3774866861f8e75886b1cfc2025-02-02T01:28:45ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-09-012310.37569/DalatUniversity.2.3.202(2012)FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTSPhan Quốc Khánh0Lê Thanh Tùng1International University, Vietnam National University Ho Chi Minh CityCantho UniversityWe consider various kinds of solutions to nonsmooth vector equilibrium problems with functional constraints. By using first and second-order approximations as generalise 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.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/202Equilibrium problemsOptimality conditionsFirst and second-order approximationsWeak solutionsFirm solutionsHenig-proper solutions |
| spellingShingle | Phan Quốc Khánh Lê Thanh Tùng FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS Tạp chí Khoa học Đại học Đà Lạt Equilibrium problems Optimality conditions First and second-order approximations Weak solutions Firm solutions Henig-proper solutions |
| title | FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS |
| title_full | FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS |
| title_fullStr | FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS |
| title_full_unstemmed | FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS |
| title_short | FIRST AND SECOND-ORDER OP TIMALITY CONDITIONS USING APPROXIMATIONS FOR VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS |
| title_sort | first and second order op timality conditions using approximations for vector equilibrium problems with constraints |
| topic | Equilibrium problems Optimality conditions First and second-order approximations Weak solutions Firm solutions Henig-proper solutions |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/202 |
| work_keys_str_mv | AT phanquockhanh firstandsecondorderoptimalityconditionsusingapproximationsforvectorequilibriumproblemswithconstraints AT lethanhtung firstandsecondorderoptimalityconditionsusingapproximationsforvectorequilibriumproblemswithconstraints |