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 pap...
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Trường Đại học Đà Lạt
2014
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oai:scholar.dlu.edu.vn:DLU123456789-374362023-10-27T14:41:53Z A new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem Phạm, Hữu Sách Lê, Anh Tuấn 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 generalized version of the Gerstewitz function applied to set-valued maps. 2014-05-29T02:49:57Z 2014-05-29T02:49:57Z 2012 Article https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37436 en Tạp chí Khoa học Đại học Đà Lạt, số 3b;tr. 62-66 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 |
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 generalized version of the Gerstewitz
function applied to set-valued maps. |
format |
Article |
author |
Phạm, Hữu Sách Lê, Anh Tuấn |
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 |
author_facet |
Phạm, Hữu Sách Lê, Anh Tuấn |
author_sort |
Phạm, Hữu Sách |
title |
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_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_sort |
new scalarizing approach and the semicontinuities of the solution mapping of a parametric vector quasi-equilibrium problem |
publisher |
Trường Đại học Đà Lạt |
publishDate |
2014 |
url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/37436 |
_version_ |
1781718970008600576 |