A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM
This paper gives sufficient conditions for the upper and lower semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem with moving cones. We use a new scalarizing approach quite different from traditional linear scalarization approaches. The main tool of this paper...
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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/209 |
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| author | Phạm Hữu Sách Lê Anh Tuấn |
| author_facet | Phạm Hữu Sách Lê Anh Tuấn |
| author_sort | Phạm Hữu Sách |
| collection | DOAJ |
| description | This paper gives sufficient conditions for the upper and lower semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem with moving cones. We use a new scalarizing approach quite different from traditional linear scalarization approaches. The main tool of this paper is a new notion of nonlinear scalarization function which is a generalised version of the Gerstewitz function applied to set-valued maps. |
| format | Article |
| id | doaj-art-33ce7541bf5f4b5482fd193e1b40c514 |
| 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-33ce7541bf5f4b5482fd193e1b40c5142025-02-02T11:55:26ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-09-012310.37569/DalatUniversity.2.3.209(2012)A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEMPhạm Hữu Sách0Lê Anh Tuấn1Hanoi Institute of MathematicsNonglam University, Ho Chi Minh city; and Ninhthuan College of PedagogyThis paper gives sufficient conditions for the upper and lower semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem with moving cones. We use a new scalarizing approach quite different from traditional linear scalarization approaches. The main tool of this paper is a new notion of nonlinear scalarization function which is a generalised version of the Gerstewitz function applied to set-valued maps.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/209Nonlinear scalarization functionTraditional linear scalarization approaches |
| spellingShingle | Phạm Hữu Sách Lê Anh Tuấn A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM Tạp chí Khoa học Đại học Đà Lạt Nonlinear scalarization function Traditional linear scalarization approaches |
| title | A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM |
| title_full | A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM |
| title_fullStr | A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM |
| title_full_unstemmed | A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM |
| title_short | A NEW SCALARIZING APPROACH AND THE SEMICONTINUITIES OF THE SOLUTION MAPPING OF A PARAMETRIC VECTOR QUASI-EQUILIBRIUM PROBLEM |
| title_sort | new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi equilibrium problem |
| topic | Nonlinear scalarization function Traditional linear scalarization approaches |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/209 |
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